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Science |Katherine Johnson Dies at 101;

Mathematician Broke Barriers at NASA

https://nyti.ms/2SRGVCK

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KATHERINE JOHNSON DIES AT 101; MATHEMATICIAN BROKE BARRIERS AT

NASAKATHERINE JOHNSON DIES AT 101; MATHEMATICIAN BROKE BARRIERS AT

NASA

She was one of a group of black women mathematicians at NASA and its

predecessor who were celebrated in the 2016 movie “Hidden

Figures.”

Katherine

Johnson, part of a small group of African-American women

mathematicians who did crucial work at NASA, in

1966.Credit...NASA/Donaldson Collection, via Getty Images

By Margalit Fox

*

Feb. 24, 2020

*

* _350_

They asked Katherine Johnson for the moon, and she gave it to them.

Wielding little more than a pencil, a slide rule and one of the finest

mathematical minds in the country, Mrs. Johnson, who died at 101 on

Monday at a retirement home in Newport News, Va., calculated the

precise trajectories that would let Apollo 11 land on the moon in 1969

and, after Neil Armstrong’s history-making moonwalk, let it return

to Earth.

A single error, she well knew, could have dire consequences for craft

and crew. Her impeccable calculations had already helped plot the

successful flight of Alan B. Shepard Jr., who became the first

American in space when his Mercury spacecraft went aloft in 1961.

The next year, she likewise helped make it possible for John Glenn, in

the Mercury vessel Friendship 7, to become the first American to orbit

the Earth.

Yet throughout Mrs. Johnson’s 33 years in NASA’s Flight Research

Division — the office from which the American space program sprang

— and for decades afterward, almost no one knew her name.

Continue reading the main story

Mrs. Johnson was one of several hundred rigorously educated, supremely

capable yet largely unheralded women who, well before the modern

feminist movement, worked as NASA mathematicians.

But it was not only her sex that kept her long marginalized and long

unsung: Katherine Coleman Goble Johnson, a West Virginia native who

began her scientific career in the age of Jim Crow, was also

African-American.

In old age, Mrs. Johnson became the most celebrated of the small cadre

of black women — perhaps three dozen — who at midcentury served as

mathematicians for the space agency and its predecessor, the National

Advisory Committee for Aeronautics.

Their story was told in the 2016 Hollywood film “Hidden Figures,”

based on Margot Lee Shetterly’s nonfiction book of the same title,

published that year. The movie starred Taraji P. Henson as Mrs.

Johnson, the film’s central figure. It also starred Octavia Spencer

and Janelle Monáe as her real-life colleagues Dorothy Vaughan and

Mary Jackson.

Continue reading the main story

In January 2017 “Hidden Figures” received the Screen Actors Guild

Award for outstanding performance by a cast in a motion picture.

The film was nominated for three Oscars, including best picture.

Though it won none, the 98½-year-old Mrs. Johnson received a

sustained standing ovation when she appeared onstage with the cast at

the Academy Awards ceremony that February.

Of the black women at the center of the film, Mrs. Johnson was the

only one still living at the time of its release. By then, she had

become the best-known member of her formerly unknown cohort.

In 2015, President Barack Obama awarded her the Presidential Medal of

Freedom, proclaiming, “Katherine G. Johnson refused to be limited by

society’s expectations of her gender and race while expanding the

boundaries of humanity’s reach.”

In 2017, NASA dedicated a building in her honor, the Katherine G.

Johnson Computational Research Facility

,

at its Langley Research Center in Hampton, Va.

That year, The Washington Post described her as “the most

high-profile of the computers” — “computers” being the term

originally used to designate Mrs. Johnson and her colleagues, much as

“typewriters” was used in the 19th century to denote professional

typists.

Continue reading the main story

She “helped our nation enlarge the frontiers of space,” NASA’s

administrator, Jim Bridenstine, said in a statement on Monday, “even

as she made huge strides that also opened doors for women and people

of color in the universal human quest to explore space.”

As Mrs. Johnson herself was fond of saying, her tenure at Langley —

from 1953 until her retirement in 1986 — was “a time when

computers wore skirts.”

For some years at midcentury, the black women who worked as

“computers” were subjected to a double segregation: Consigned to

separate office, dining and bathroom facilities, they were kept

separate from the much larger group of white women who also worked as

NASA mathematicians. The white women in turn were segregated from the

agency’s male mathematicians and engineers.

“AS GOOD AS ANYBODY”

But over time, the work of Mrs. Johnson and her colleagues — myriad

calculations done mainly by hand, using slide rules, graph paper and

clattering desktop calculating machines — won them a level of

acceptance that for the most part transcended race.

“NASA was a very professional organization,” Mrs. Johnson told The

Observer of Fayetteville, N.C., in 2010. “They didn’t have time to

be concerned about what color I was.”

Nor, she said, did she.

“I don’t have a feeling of inferiority,” Mrs. Johnson said on at

least one occasion. “Never had. I’m as good as anybody, but no

better.”

To the end of her life, Mrs. Johnson deflected praise for her role in

sending astronauts into space, keeping them on course and bringing

them safely home.

Continue reading the main story

“I was just doing my job,” Ms. Shetterly heard her say repeatedly

in the course of researching her book.

But what a job it was — done, no less, by a woman born at a time,

Ms. Shetterly wrote, “when the odds were more likely that she would

die before age 35 than even finish high school.”

Creola Katherine Coleman was born on Aug. 26, 1918, in White Sulphur

Springs, W.Va., the youngest of four children of Joshua and Joylette

(Lowe) Coleman. Her mother was a schoolteacher, her father a farmer.

From her earliest childhood Katherine counted things: the number of

dishes in the cupboard, the number of steps on the way to church and,

as insurmountable a task as it might pose for one old enough to be

daunted, the number of stars in the sky.

“I couldn’t wait to get to high school to take algebra and

geometry,” Mrs. Johnson told The Associated Press in 1999.

But for black children, the town’s segregated educational system

went as far as only sixth grade. Thus, every fall, Joshua Coleman

moved his family 125 miles away to Institute, W.Va.

In Institute, Katherine’s older siblings, and then Katherine,

attended the high school associated with the West Virginia Collegiate

Institute, a historically black institution that became West Virginia

State College and is now West Virginia State University.

Continue reading the main story

Mr. Coleman remained in White Sulphur Springs to farm, and, when the

Depression made farming untenable, to work as a bellman at the

Greenbrier, a world-renowned resort there.

Katherine entered high school at 10 and graduated at 14. The next year

she entered West Virginia State. By her junior year, she had taken all

the math courses the college had to offer.

Her mentor there, William Waldron Schieffelin Claytor

, only

the third black person to earn a doctorate in mathematics from an

American university, conceived special classes just for her.

“You would make a good research mathematician,” he told his

17-year-old charge. “And I am going to prepare you for this

career.”

“Where will I find a job?” Katherine asked.

“That,” he replied, “will be your problem.”

After graduating summa cum laude in 1937 with a double major in

mathematics and French, she found, unsurprisingly, that research

opportunities for black female teenage mathematicians were negligible.

She took a job as a schoolteacher in Marion, Va.

In 1940, she was chosen by the president of West Virginia State to be

one of three black graduate students to integrate West Virginia

University, the all-white institution in Morgantown.

Continue reading the main story

Two years earlier, ruling in the civil-rights case Missouri ex rel.

Gaines v. Canada

,

the United States Supreme Court held that where comparable graduate

programs did not exist at black universities in Missouri, the state

was obliged to admit black graduate students to its white state

universities. In the wake of that decision, West Virginia’s

governor, Homer Holt, chose to desegregate public graduate schools in

his state.

Now married to James Francis Goble, a chemistry teacher, she entered

West Virginia University in the summer of 1940, studying advanced

mathematics.

“The greatest challenge she faced,” Ms. Shetterly wrote, “was

finding a course that didn’t duplicate Dr. Claytor’s meticulous

tutelage.”

But after that summer session, on discovering she was pregnant with

her first child, she withdrew from the university. She returned with

her husband to Marion and was occupied with marriage, motherhood and

teaching for more than a decade.

NASA OPENS TO WOMEN

Then, in 1952, Katherine Goble heard that Langley was hiring black

women as mathematicians.

The oldest of NASA’s field centers, Langley had been established by

the National Advisory Committee for Aeronautics in 1917. In 1935, it

began hiring white women with mathematics degrees to relieve its male

engineers of the tedious work of crunching numbers by hand.

Within a decade, several hundred white women had been employed as

computers there. Most, unlike the male scientists at the agency, were

classified as subprofessionals, paid less than their male

counterparts.

In June 1941, as the nation prepared for war, President Franklin D.

Roosevelt signed Executive Order 8802

, barring

racial discrimination in the defense industry. In 1943, with the

wartime need for human computers greater than ever, the Langley

Memorial Aeronautical Laboratory, as the research facility was then

known, began advertising for black women trained in mathematics.

Continue reading the main story

Among the first hired was Dorothy Vaughan

, who began

work that year. In 1951, Mrs. Vaughan became the first black section

head at NACA, as the advisory committee was known, when she was

officially placed in charge of Langley’s West Area Computing Unit,

the segregated office to which the black women were relegated.

It was in this unit that Katherine Goble began work in June 1953,

tabulating sheets of data for the agency’s engineers.

By the time she arrived, the company cafeteria had already undergone

de facto desegregation: Its “Colored Computers” sign, designating

a table in the back for the women, had been a salubrious casualty of

the war years. But the separate bathrooms remained.

Quite by accident, Katherine Goble broke that color line herself.

While the agency’s bathrooms for black employees were marked as

such, many bathrooms for whites were unmarked.

Without realizing it, she had been using a white women’s restroom

since her arrival. By the time she became aware of her error, she was

set in her routine and disinclined to change. No one took her to task,

and she used the white bathrooms from then on.

Two weeks into her new job, she was borrowed by the Flight Research

Division, which occupied an immense hangar on the Langley grounds.

There, the only black member of the staff, she helped calculate the

aerodynamic forces on airplanes. For that task, as she quickly

demonstrated, she came armed with an invaluable asset.

Continue reading the main story

“The guys all had graduate degrees in mathematics; they had

forgotten all the geometry they ever knew,” Mrs. Johnson said in the

Fayetteville Observer interview. “I still remembered mine.”

She remained in the division for the rest of her career.

By the early 1960s, with the United States provoked by Soviet prowess

in space, NASA was under great pressure to launch an astronaut. It

fell to the Flight Research Division to do many of the associated

calculations.

“Our assignment was the trajectory,” Mrs. Johnson explained to The

Associated Press. “As NASA got ready to put someone in space, they

needed to know what the launch conditions were. It was our assignment

to develop the launch window and determine where it was going to

land.”

CLANDESTINE CALCULATIONS

Their work was secret — at times even from the mathematicians

themselves.

“We were the pioneers of the space era,” Mrs. Johnson told The

Daily Press, a Virginia newspaper, in 1990. “You had to read

Aviation Week to find out what you’d done.”

She routinely logged 16-hour days, once falling asleep at the wheel of

her car and waking up — safe, providentially — at the side of the

road.

But the work engaged her deeply.

“I loved every single day of it,” she told Ms. Shetterly. “There

wasn’t one day when I didn’t wake up excited to go to work.”

Continue reading the main story

It helped sustain her through the death of her first husband from

brain cancer in 1956, leaving her, at 38, a widow with three

adolescent daughters. She married James A. Johnson, a United States

Army captain, in 1959.

Over the years, Mrs. Johnson published more than two dozen technical

papers. She was among the first women at NASA to be a named author or

co-author on an agency report.

Ceaselessly curious about the aerospace technology that underpinned

her work, she made it possible for women to attend the agency’s

scientific briefings, formerly closed-door affairs reserved for male

staff members. (“Is there a law against it?” Mrs. Johnson asked,

and when her male colleagues, after some head-scratching, concluded

that, no, there was no law, they let her in.)

After retiring from NASA, Mrs. Johnson became a public advocate for

mathematics education, speaking widely and visiting schools.

Her death was announced by NASA. She is survived by two daughters,

Joylette Hylick and Katherine Moore; six grandchildren; and 11

great-grandchildren. Another daughter, Connie Garcia, died in 2010;

her second husband, James Johnson, died in 2019.

Mrs. Johnson’s colleague Mary Jackson died in 2005; Dorothy Vaughan

died in 2008.

An autobiography by Mrs. Johnson for young readers, “Reaching for

the Moon,”

was published last year.

Continue reading the main story

In 2016, Mrs. Johnson, self-effacing as ever at 98, seemed somewhat

indifferent to the fuss surrounding the feature film about her life.

“I shudder,” she told The New York Times that September, some

three months before the film’s release, having heard that the

screenwriters might have made her character seem a tiny bit

aggressive. “I was never aggressive.” (As things transpired, Mrs.

Johnson liked the finished film very much, Ms. Shetterly said in an

interview for this obituary in 2017.)

Mrs. Johnson may not have been aggressive, but she was assuredly

esteemed. An index of just how esteemed she was came from Mr. Glenn,

Mercury astronaut and future United States senator, who died in 2016.

In early 1962, a few days before he prepared to orbit the Earth in

Friendship 7, Mr. Glenn made a final check of his planned orbital

trajectory. The trajectory had been generated by a computer — not

the flesh-and-blood kind, but the electronic sort, which were starting

to supplant the agency’s human calculators.

Electronic computation was still something of a novelty at NASA, and

Mr. Glenn was unsettled by the use of a soulless mass of metal to

divine something on which his life depended.

He asked that Mrs. Johnson double-check the machine’s figures by

hand.

“If she says the numbers are good,” he declared, “I’m ready to

go.”

Continue reading the main story

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height: 50px;"></div></div><div id="after-sponsor"></div></div><div class="css-rl7mdh euiyums3"></div><div class="css-1vkm6nb ehdk2mb0"><h1 id="link-66aa4c6d" class="css-1s4ffep e1h9rw200" itemprop="headline"><span class="balancedHeadline" style="display: inline-block; max-width: 624.918px;">Katherine Johnson Dies at 101; Mathematician Broke Barriers at NASA</span><span class="ghost" aria-hidden="true" style="position: absolute; left: 0px; visibility: hidden;">Katherine Johnson Dies at 101; Mathematician Broke Barriers at NASA</span></h1></div><p id="article-summary" class="css-ns7wfp e1wiw3jv0">She was one of a group of black women mathematicians at NASA and its predecessor who were celebrated in the 2016 movie “Hidden Figures.”</p><div class="css-79elbk" data-testid="photoviewer-wrapper"><div class="css-z3e15g" data-testid="photoviewer-wrapper-hidden"></div><div data-testid="photoviewer-children" class="css-zbvetu ehw59r12" height="756.171875px" width="600px"><div data-testid="photoviewer-overlay" class="css-tux0zj ehw59r13"><div width="200px" height="1200px" data-testid="photoviewer-captionblock" class="css-j7mmez ehw59r11"></div><div width="600px" height="756.171875px" class="css-19x2bpu ehw59r14"><div style="visibility: hidden; transition: visibility 0s ease 0.5s;"><div class="css-8h527k"><div data-testid="lazyimage-container" style="height: auto;"><picture class="css-1j5kxti" style="opacity: 1;"><source media="(max-width: 599px) and (min-device-pixel-ratio: 3),(max-width: 599px) and (-webkit-min-device-pixel-ratio: 3),(max-width: 599px) and (min-resolution: 3dppx),(max-width: 599px) and (min-resolution: 288dpi)" srcset="https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-mobileMasterAt3x.jpg?quality=75&amp;auto=webp&amp;disable=upscale&amp;width=600"><source media="(max-width: 599px) and (min-device-pixel-ratio: 2),(max-width: 599px) and (-webkit-min-device-pixel-ratio: 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(-webkit-min-device-pixel-ratio: 1),(max-width: 599px) and (min-resolution: 1dppx),(max-width: 599px) and (min-resolution: 96dpi)" srcset="https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-mobileMasterAt3x.jpg?quality=75&amp;auto=webp&amp;disable=upscale&amp;width=1800"><img alt="Katherine Johnson, part of a small group of African-American women mathematicians who did crucial work at NASA, in 1966." class="css-11cwn6f" src="https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-articleLarge.jpg?quality=75&amp;auto=webp&amp;disable=upscale" srcset="https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-articleLarge.jpg?quality=90&amp;auto=webp 600w,https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-jumbo.jpg?quality=90&amp;auto=webp 813w,https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-superJumbo.jpg?quality=90&amp;auto=webp 1625w" sizes="((min-width: 600px) and (max-width: 1004px)) 84vw, (min-width: 1005px) 80vw, 100vw" itemprop="url" itemid="https://static01.nyt.com/images/2020/02/25/obituaries/24Johnson1/merlin_157899726_f670c425-adb2-46f6-9c15-bc356754fb87-articleLarge.jpg?quality=75&amp;auto=webp&amp;disable=upscale" style="cursor: pointer;"></picture></div><figcaption itemprop="caption description" class="css-17ai7jg emkp2hg0"><span aria-hidden="true" class="css-16f3y1r e13ogyst0">Katherine Johnson, part of a small group of African-American women mathematicians who did crucial work at NASA, in 1966.</span><span itemprop="copyrightHolder" class="emkp2hg2 css-1fxp258 e1z0qqy90"><span class="css-1ly73wi e1tej78p0">Credit...</span><span><span>NASA/Donaldson Collection, via Getty Images</span></span></span></figcaption></figure></div></div><div class="css-18e8msd epjyd6m0"><div class="css-vp77d3 epjyd6m2"><div class="css-hus3qt ey68jwv0" aria-hidden="true"><a href="https://www.nytimes.com/by/margalit-fox" class="css-uwwqev"><img alt="Margalit Fox" title="Margalit Fox" src="https://static01.nyt.com/images/2018/02/16/multimedia/author-margalit-fox/author-margalit-fox-thumbLarge.jpg" class="css-1rjmmt7 ey68jwv2"></a></div><div class="css-1baulvz"><p class="css-1fv7b6t e1jsehar1" itemprop="author" itemscope="" itemtype="http://schema.org/Person">By <a href="https://www.nytimes.com/by/margalit-fox" class="css-brehiz e1jsehar0"><span class="css-1baulvz last-byline" itemprop="name">Margalit Fox</span></a></p></div></div><ul class="css-1xtbm1r epjyd6m3"><li class="css-i49r68"><div class="css-ld3wwf e16638kd1"><time datetime="2020-02-24T10:14:14-05:00" class="css-1sbuyqj 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Click to read and post comments." id="comments-speech-bubble-top"><i class="css-1pv1u79"><span class="css-1dtr3u3">350</span></i></button></li></ul></div></div></li></ul></div></header></div><div aria-hidden="true" style="display: none;"><div><span height="10"></span></div></div><section name="articleBody" itemprop="articleBody" class="meteredContent css-1r7ky0e"><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">They asked Katherine Johnson for the moon, and she gave it to them.</p><p class="css-exrw3m evys1bk0">Wielding little more than a pencil, a slide rule and one of the finest mathematical minds in the country, Mrs. Johnson, who died at 101 on Monday at a retirement home in Newport News, Va., calculated the precise trajectories that would let Apollo 11 land on the moon in 1969 and, after Neil Armstrong’s history-making moonwalk, let it return to Earth.</p><p class="css-exrw3m evys1bk0">A single error, she well knew, could have dire consequences for craft and crew. Her impeccable calculations had already helped plot the successful flight of Alan B. Shepard Jr., who became the first American in space when his Mercury spacecraft went aloft in 1961.</p><p class="css-exrw3m evys1bk0">The next year, she likewise helped make it possible for John Glenn, in the Mercury vessel Friendship 7, to become the first American to orbit the Earth.</p><p class="css-exrw3m evys1bk0">Yet throughout Mrs. Johnson’s 33 years in NASA’s Flight Research Division — the office from which the American space program sprang — and for decades afterward, almost no one knew her name.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-1-wrapper" class="css-1r07izm"><div id="story-ad-1-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-1" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-1-wrapper" id="story-ad-1" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-1"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">Mrs. Johnson was one of several hundred rigorously educated, supremely capable yet largely unheralded women who, well before the modern feminist movement, worked as NASA mathematicians.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">But it was not only her sex that kept her long marginalized and long unsung: Katherine Coleman Goble Johnson, a West Virginia native who began her scientific career in the age of Jim Crow, was also African-American.</p><p class="css-exrw3m evys1bk0">In old age, Mrs. Johnson became the most celebrated of the small cadre of black women — perhaps three dozen — who at midcentury served as mathematicians for the space agency and its predecessor, the National Advisory Committee for Aeronautics.</p><p class="css-exrw3m evys1bk0">Their story was told in the 2016 Hollywood film “Hidden Figures,” based on Margot Lee Shetterly’s nonfiction book of the same title, published that year. The movie starred Taraji P. Henson as Mrs. Johnson, the film’s central figure. It also starred Octavia Spencer and Janelle Monáe as her real-life colleagues Dorothy Vaughan and Mary Jackson.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-2-wrapper" class="css-1r07izm"><div id="story-ad-2-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-2" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-2-wrapper" id="story-ad-2" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-2"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">In January 2017 “Hidden Figures” received the Screen Actors Guild Award for outstanding performance by a cast in a motion picture.</p><p class="css-exrw3m evys1bk0">The film was nominated for three Oscars, including best picture. Though it won none, the 98½-year-old Mrs. Johnson received a sustained standing ovation when she appeared onstage with the cast at the Academy Awards ceremony that February.</p><p class="css-exrw3m evys1bk0">Of the black women at the center of the film, Mrs. Johnson was the only one still living at the time of its release. By then, she had become the best-known member of her formerly unknown cohort.</p><p class="css-exrw3m evys1bk0">In 2015, President Barack Obama awarded her the Presidential Medal of Freedom, proclaiming, “Katherine G. Johnson refused to be limited by society’s expectations of her gender and race while expanding the boundaries of humanity’s reach.”</p><p class="css-exrw3m evys1bk0">In 2017, NASA dedicated a building in her honor, the <a class="css-1g7m0tk" href="http://www.huffingtonpost.com/entry/nasa-hidden-figures-katherine-johnson-honors_us_59c834a2e4b01cc57ff2fa2e" title="The dedication." rel="noopener noreferrer" target="_blank">Katherine G. Johnson Computational Research Facility</a>, at its Langley Research Center in Hampton, Va.</p><p class="css-exrw3m evys1bk0">That year, The Washington Post described her as “the most high-profile of the computers” — “computers” being the term originally used to designate Mrs. Johnson and her colleagues, much as “typewriters” was used in the 19th century to denote professional typists.</p></div><aside class="css-ew4tgv" aria-label="companion column"><div></div></aside></div><div id="story-ad-3-wrapper" class="css-1r07izm"><div id="story-ad-3-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-3" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-3-wrapper" id="story-ad-3" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-3"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">She “helped our nation enlarge the frontiers of space,” NASA’s administrator, Jim Bridenstine, said in a statement on Monday, “even as she made huge strides that also opened doors for women and people of color in the universal human quest to explore space.”</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">As Mrs. Johnson herself was fond of saying, her tenure at Langley — from 1953 until her retirement in 1986 — was “a time when computers wore skirts.”</p><div id="NYT_MID_MAIN_CONTENT_REGION" class="css-9tf9ac"></div><p class="css-exrw3m evys1bk0">For some years at midcentury, the black women who worked as “computers” were subjected to a double segregation: Consigned to separate office, dining and bathroom facilities, they were kept separate from the much larger group of white women who also worked as NASA mathematicians. The white women in turn were segregated from the agency’s male mathematicians and engineers.</p><h2 class="css-3ez4hu eoo0vm40" id="link-6517ab6c">“As Good as Anybody”</h2><p class="css-exrw3m evys1bk0">But over time, the work of Mrs. Johnson and her colleagues — myriad calculations done mainly by hand, using slide rules, graph paper and clattering desktop calculating machines — won them a level of acceptance that for the most part transcended race.</p><p class="css-exrw3m evys1bk0">“NASA was a very professional organization,” Mrs. Johnson told The Observer of Fayetteville, N.C., in 2010. “They didn’t have time to be concerned about what color I was.”</p><p class="css-exrw3m evys1bk0">Nor, she said, did she.</p><p class="css-exrw3m evys1bk0">“I don’t have a feeling of inferiority,” Mrs. Johnson said on at least one occasion. “Never had. I’m as good as anybody, but no better.”</p><p class="css-exrw3m evys1bk0">To the end of her life, Mrs. Johnson deflected praise for her role in sending astronauts into space, keeping them on course and bringing them safely home.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-4-wrapper" class="css-1r07izm"><div id="story-ad-4-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-4" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-4-wrapper" id="story-ad-4" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-4"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">“I was just doing my job,” Ms. Shetterly heard her say repeatedly in the course of researching her book.</p><p class="css-exrw3m evys1bk0">But what a job it was — done, no less, by a woman born at a time, Ms. Shetterly wrote, “when the odds were more likely that she would die before age 35 than even finish high school.”</p><p class="css-exrw3m evys1bk0">Creola Katherine Coleman was born on Aug. 26, 1918, in White Sulphur Springs, W.Va., the youngest of four children of Joshua and Joylette (Lowe) Coleman. Her mother was a schoolteacher, her father a farmer. </p><p class="css-exrw3m evys1bk0">From her earliest childhood Katherine counted things: the number of dishes in the cupboard, the number of steps on the way to church and, as insurmountable a task as it might pose for one old enough to be daunted, the number of stars in the sky.</p><p class="css-exrw3m evys1bk0">“I couldn’t wait to get to high school to take algebra and geometry,” Mrs. Johnson told The Associated Press in 1999.</p><p class="css-exrw3m evys1bk0">But for black children, the town’s segregated educational system went as far as only sixth grade. Thus, every fall, Joshua Coleman moved his family 125 miles away to Institute, W.Va.</p><p class="css-exrw3m evys1bk0">In Institute, Katherine’s older siblings, and then Katherine, attended the high school associated with the West Virginia Collegiate Institute, a historically black institution that became West Virginia State College and is now West Virginia State University.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-5-wrapper" class="css-1r07izm"><div id="story-ad-5-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-5" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-5-wrapper" id="story-ad-5" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-5"></div></div><div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">Mr. Coleman remained in White Sulphur Springs to farm, and, when the Depression made farming untenable, to work as a bellman at the Greenbrier, a world-renowned resort there.</p><p class="css-exrw3m evys1bk0">Katherine entered high school at 10 and graduated at 14. The next year she entered West Virginia State. By her junior year, she had taken all the math courses the college had to offer.</p><p class="css-exrw3m evys1bk0">Her mentor there, <a class="css-1g7m0tk" href="http://www-history.mcs.st-and.ac.uk/Biographies/Claytor.html" title="About Dr. Claytor." rel="noopener noreferrer" target="_blank">William Waldron Schieffelin Claytor</a>, only the third black person to earn a doctorate in mathematics from an American university, conceived special classes just for her.</p><p class="css-exrw3m evys1bk0">“You would make a good research mathematician,” he told his 17-year-old charge. “And I am going to prepare you for this career.”</p><p class="css-exrw3m evys1bk0">“Where will I find a job?” Katherine asked.</p><p class="css-exrw3m evys1bk0">“That,” he replied, “will be your problem.”</p><p class="css-exrw3m evys1bk0">After graduating summa cum laude in 1937 with a double major in mathematics and French, she found, unsurprisingly, that research opportunities for black female teenage mathematicians were negligible. She took a job as a schoolteacher in Marion, Va.</p><p class="css-exrw3m evys1bk0">In 1940, she was chosen by the president of West Virginia State to be one of three black graduate students to integrate West Virginia University, the all-white institution in Morgantown.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-6-wrapper" class="css-1r07izm"><div id="story-ad-6-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-6" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-6-wrapper" id="story-ad-6" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-6"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">Two years earlier, ruling in the civil-rights case <a class="css-1g7m0tk" href="http://www.blackpast.org/primary/missouri-ex-rel-gaines-v-canada-1938" title="About the case." rel="noopener noreferrer" target="_blank">Missouri ex rel. Gaines v. Canada</a>, the United States Supreme Court held that where comparable graduate programs did not exist at black universities in Missouri, the state was obliged to admit black graduate students to its white state universities. In the wake of that decision, West Virginia’s governor, Homer Holt, chose to desegregate public graduate schools in his state.</p><p class="css-exrw3m evys1bk0">Now married to James Francis Goble, a chemistry teacher, she entered West Virginia University in the summer of 1940, studying advanced mathematics.</p><p class="css-exrw3m evys1bk0">“The greatest challenge she faced,” Ms. Shetterly wrote, “was finding a course that didn’t duplicate Dr. Claytor’s meticulous tutelage.”</p><p class="css-exrw3m evys1bk0">But after that summer session, on discovering she was pregnant with her first child, she withdrew from the university. She returned with her husband to Marion and was occupied with marriage, motherhood and teaching for more than a decade.</p><h2 class="css-3ez4hu eoo0vm40" id="link-267a8137">NASA Opens to Women</h2><p class="css-exrw3m evys1bk0">Then, in 1952, Katherine Goble heard that Langley was hiring black women as mathematicians.</p><p class="css-exrw3m evys1bk0">The oldest of NASA’s field centers, Langley had been established by the National Advisory Committee for Aeronautics in 1917. In 1935, it began hiring white women with mathematics degrees to relieve its male engineers of the tedious work of crunching numbers by hand.</p><p class="css-exrw3m evys1bk0">Within a decade, several hundred white women had been employed as computers there. Most, unlike the male scientists at the agency, were classified as subprofessionals, paid less than their male counterparts.</p><p class="css-exrw3m evys1bk0">In June 1941, as the nation prepared for war, President Franklin D. Roosevelt signed <a class="css-1g7m0tk" href="https://www.ourdocuments.gov/doc.php?flash=true&amp;doc=72" title="Text of the order." rel="noopener noreferrer" target="_blank">Executive Order 8802</a>, barring racial discrimination in the defense industry. In 1943, with the wartime need for human computers greater than ever, the Langley Memorial Aeronautical Laboratory, as the research facility was then known, began advertising for black women trained in mathematics.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-7-wrapper" class="css-1r07izm"><div id="story-ad-7-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-7" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-7-wrapper" id="story-ad-7" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-7"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">Among the first hired was <a class="css-1g7m0tk" href="https://www.nasa.gov/content/dorothy-vaughan-biography" title="About Mrs. Vaughan." rel="noopener noreferrer" target="_blank">Dorothy Vaughan</a>, who began work that year. In 1951, Mrs. Vaughan became the first black section head at NACA, as the advisory committee was known,<span class="css-8l6xbc evw5hdy0">  </span>when she was officially placed in charge of Langley’s West Area Computing Unit, the segregated office to which the black women were relegated.</p><p class="css-exrw3m evys1bk0">It was in this unit that Katherine Goble began work in June 1953, tabulating sheets of data for the agency’s engineers.</p><p class="css-exrw3m evys1bk0">By the time she arrived, the company cafeteria had already undergone de facto desegregation: Its “Colored Computers” sign, designating a table in the back for the women, had been a salubrious casualty of the war years. But the separate bathrooms remained.</p><p class="css-exrw3m evys1bk0">Quite by accident, Katherine Goble broke that color line herself. While the agency’s bathrooms for black employees were marked as such, many bathrooms for whites were unmarked.</p><p class="css-exrw3m evys1bk0">Without realizing it, she had been using a white women’s restroom since her arrival. By the time she became aware of her error, she was set in her routine and disinclined to change. No one took her to task, and she used the white bathrooms from then on.</p><p class="css-exrw3m evys1bk0">Two weeks into her new job, she was borrowed by the Flight Research Division, which occupied an immense hangar on the Langley grounds.</p><p class="css-exrw3m evys1bk0">There, the only black member of the staff, she helped calculate the aerodynamic forces on airplanes. For that task, as she quickly demonstrated, she came armed with an invaluable asset.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-8-wrapper" class="css-1r07izm"><div id="story-ad-8-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-8" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-8-wrapper" id="story-ad-8" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-8"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">“The guys all had graduate degrees in mathematics; they had forgotten all the geometry they ever knew,” Mrs. Johnson said in the Fayetteville Observer interview. “I still remembered mine.”</p><p class="css-exrw3m evys1bk0">She remained in the division for the rest of her career.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">By the early 1960s, with the United States provoked by Soviet prowess in space, NASA was under great pressure to launch an astronaut. It fell to the Flight Research Division to do many of the associated calculations.</p><p class="css-exrw3m evys1bk0">“Our assignment was the trajectory,” Mrs. Johnson explained to The Associated Press. “As NASA got ready to put someone in space, they needed to know what the launch conditions were. It was our assignment to develop the launch window and determine where it was going to land.”</p><h2 class="css-3ez4hu eoo0vm40" id="link-58a3b671">Clandestine Calculations</h2><p class="css-exrw3m evys1bk0">Their work was secret — at times even from the mathematicians themselves.</p><p class="css-exrw3m evys1bk0">“We were the pioneers of the space era,” Mrs. Johnson told The Daily Press, a Virginia newspaper, in 1990. “You had to read Aviation Week to find out what you’d done.”</p><p class="css-exrw3m evys1bk0">She routinely logged 16-hour days, once falling asleep at the wheel of her car and waking up — safe, providentially — at the side of the road.</p><p class="css-exrw3m evys1bk0">But the work engaged her deeply.</p><p class="css-exrw3m evys1bk0">“I loved every single day of it,” she told Ms. Shetterly. “There wasn’t one day when I didn’t wake up excited to go to work.”</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-9-wrapper" class="css-1r07izm"><div id="story-ad-9-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-9" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-9-wrapper" id="story-ad-9" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-9"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">It helped sustain her through the death of her first husband from brain cancer in 1956, leaving her, at 38, a widow with three adolescent daughters. She married James A. Johnson, a United States Army captain, in 1959.</p><p class="css-exrw3m evys1bk0">Over the years, Mrs. Johnson published more than two dozen technical papers. She was among the first women at NASA to be a named author or co-author on an agency report.</p><p class="css-exrw3m evys1bk0">Ceaselessly curious about the aerospace technology that underpinned her work, she made it possible for women to attend the agency’s scientific briefings, formerly closed-door affairs reserved for male staff members. (“Is there a law against it?” Mrs. Johnson asked, and when her male colleagues, after some head-scratching, concluded that, no, there was no law, they let her in.)</p><p class="css-exrw3m evys1bk0">After retiring from NASA, Mrs. Johnson became a public advocate for mathematics education, speaking widely and visiting schools.</p><p class="css-exrw3m evys1bk0">Her death was announced by NASA. She is survived by two daughters, Joylette Hylick and Katherine Moore; six grandchildren; and 11 great-grandchildren. Another daughter, Connie Garcia, died in 2010; her second husband, James Johnson, died in 2019.</p><p class="css-exrw3m evys1bk0"></p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">Mrs. Johnson’s colleague Mary Jackson died in 2005; Dorothy Vaughan died in 2008.</p><p class="css-exrw3m evys1bk0">An autobiography by Mrs. Johnson for young readers, <a class="css-1g7m0tk" href="https://www.space.com/reaching-for-the-moon-katherine-johnson-excerpt.html" title="" rel="noopener noreferrer" target="_blank">“Reaching for the Moon,”</a> was published last year.</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div><div id="story-ad-10-wrapper" class="css-1r07izm"><div id="story-ad-10-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-story-ad-10" style="position: absolute; width: 1px; height: 1px; margin: -1px; padding: 0px; border: 0px; clip: rect(0px, 0px, 0px, 0px); overflow: hidden;">Continue reading the main story</a><div class="ad story-ad-10-wrapper" id="story-ad-10" style="text-align: center; height: 100%; display: block; min-height: 250px;"></div><div id="after-story-ad-10"></div></div><div class="css-1fanzo5 StoryBodyCompanionColumn"><div class="css-53u6y8"><p class="css-exrw3m evys1bk0">In 2016, Mrs. Johnson, self-effacing as ever at 98, seemed somewhat indifferent to the fuss surrounding the feature film about her life.</p><p class="css-exrw3m evys1bk0">“I shudder,” she told The New York Times that September, some three months before the film’s release, having heard that the screenwriters might have made her character seem a tiny bit aggressive. “I was never aggressive.” (As things transpired, Mrs. Johnson liked the finished film very much, Ms. Shetterly said in an interview for this obituary in 2017.)</p><p class="css-exrw3m evys1bk0">Mrs. Johnson may not have been aggressive, but she was assuredly esteemed. An index of just how esteemed she was came from Mr. Glenn, Mercury astronaut and future United States senator, who died in 2016.</p><p class="css-exrw3m evys1bk0">In early 1962, a few days before he prepared to orbit the Earth in Friendship 7, Mr. Glenn made a final check of his planned orbital trajectory. The trajectory had been generated by a computer — not the flesh-and-blood kind, but the electronic sort, which were starting to supplant the agency’s human calculators.</p><p class="css-exrw3m evys1bk0">Electronic computation was still something of a novelty at NASA, and Mr. Glenn was unsettled by the use of a soulless mass of metal to divine something on which his life depended.</p><p class="css-exrw3m evys1bk0">He asked that Mrs. Johnson double-check the machine’s figures by hand.</p><p class="css-exrw3m evys1bk0">“If she says the numbers are good,” he declared, “I’m ready to go.”</p></div><aside class="css-ew4tgv" aria-label="companion column"></aside></div></section><div></div><div id="NYT_BELOW_MAIN_CONTENT_REGION"></div><div></div><div><div id="bottom-wrapper" class="css-1ede5it"><div id="bottom-slug" class="css-l9onyx"><p>Advertisement</p></div><a href="#after-bottom" style="position:absolute;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(0 0 0 0);overflow:hidden">Continue reading the main story</a><div class="ad bottom-wrapper" id="bottom" style="text-align:center;height:100%;display:block;min-height:90px"></div><div id="after-bottom"></div></div></div><div class="css-11kjks6" role="region" aria-label="comments panel" tabindex="-1"><button type="button" class="css-159bbcu" aria-label="close comments panel"><svg class="" viewBox="0 0 12 12" stroke="#666" stroke-width="1" stroke-linecap="round" style="opacity: 0.95;"><line x1="11" y1="1" x2="1" y2="11"></line><line x1="1" y1="1" x2="11" y2="11"></line></svg></button><div class="css-1h21wu5"><div class="css-akb3vb"><div><div class="css-1yip8nf"><header><h2 class="css-1sj8ssj"><a href="#commentsContainer" tabindex="-1" aria-label="Comments Panel">Comments <span>350</span></a></h2><a class="css-emn6zw" href="">Katherine Johnson Dies at 101; Mathematician Broke Barriers at NASA</a><a href="" class="css-1qg0wjs" tabindex="0">Skip to Comments</a></header><div class="css-1q7njkh"><a href="https://myaccount.nytimes.com/auth/login?response_type=cookie&amp;client_id=vi"><span class="css-1gp0kkr">Share your thoughts.</span></a><div class="css-1tgtjhp">The Times needs your voice. 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The white women in turn were segregated from the agency’s male mathematicians and engineers.","formats":[]},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.40.content.0":{"__typename":"TextInline","text":"“As Good as Anybody”","formats":[]},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.41.content.0":{"__typename":"TextInline","text":"But over time, the work of Mrs. Johnson and her colleagues — myriad calculations done mainly by hand, using slide rules, graph paper and clattering desktop calculating machines — won them a level of acceptance that for the most part transcended race.","formats":[]},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.43.content.0":{"__typename":"TextInline","text":"“NASA was a very professional organization,” Mrs. Johnson told The Observer of Fayetteville, N.C., in 2010. “They didn’t have time to be concerned about what color I was.”","formats":[]},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.45.content.0":{"__typename":"TextInline","text":"Nor, she said, did she.","formats":[]},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.46.content.0":{"__typename":"TextInline","text":"“I don’t have a feeling of inferiority,” Mrs. Johnson said on at least one occasion. “Never had. 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Johnson at NASA&rsquo;s Langley Research Center in 1980.","__typename":"TextOnlyDocumentBlock"},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.66.content.0":{"__typename":"TextInline","text":"Mr. Coleman remained in White Sulphur Springs to farm, and, when the Depression made farming untenable, to work as a bellman at the Greenbrier, a world-renowned resort there.","formats":[]},"$Article:QXJ0aWNsZTpueXQ6Ly9hcnRpY2xlLzU3NTlhZTRiLWNiYjItNWM5NC1hNzg5LTg4NjQ2MjM4NzE2ZA==.sprinkledBody.content@filterEmpty.68.content.0":{"__typename":"TextInline","text":"Katherine entered high school at 10 and graduated at 14. 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