Douglas said she had felt confident all along that she would win. “It was just an amazing feeling,” she said, giggling. “I was just like, Believe, don’t fear, believe.” Just five months ago, Martha Karolyi, the coordinator of the women’s national team, did not think Douglas had what it took to be an Olympian. She lacked confidence and focus, Karolyi said, even as recently as a few weeks ago. Douglas disagreed. As this year went on, she thought more and more that she could make the London Games — and win. After sacrificing so much, she had no other choice but to push forward, she said. When Douglas was 6, her mother, Natalie Hawkins, looking for a safe place for her to jump around, enrolled her in gymnastics. About three years ago, Chow, the coach, attended a nearby gymnastics clinic and helped Douglas learn the very difficult Amanar vault — which includes one flip and two and a half twists — in one afternoon. Douglas fell in love with his easygoing coaching style, and her sisters, Arielle and Joy, resolved to convince their mother that Douglas should train with him. But Hawkins, a debt collector and single mother, was not buying it. She was already stretched thin, trying to keep house, cut coupons and juggle four children. Douglas and her sisters were undeterred. “We had to be like, Mom, do this, please, please, please, and it was extra hard because she’s a mama bear and she’s so protective,” Arielle Hawkins said. “So we made a pros-and-cons list. Making the Olympics was a pro. Missing her was a huge, huge con.” Across the country, another family was also making a big decision. After praying about it, Missy and Travis Parton decided to open their home to one of Chow’s top gymnasts who could not afford housing. They did so just after Missy Parton’s mother died. “God never took something away without filling the hole, without replacing it with something,” she said. “And for us he just happened to replace it with a 16-year-old black girl.” Hawkins and Missy Parton talked several times and clicked. Both shared religious beliefs. Both had four children. By 2010, Douglas was at the Partons’ front door. The family tried to make her feel at home, giving her free rein of the house, buying her a pool pass, taking her to weddings and eventually teaching her how to drive. Douglas noticed right away that she was one of the few black people in town. She was used to standing out. Often, she was the only black gymnast at high-level competitions. “It was so strange,” she said of being in a mostly white sport. “I remember listening to rap music and being like, You don’t know this song? O.K., sorry. And they’re like, Country? You don’t know country? I’m just like, This is awkward.” But back then, she could go home to Virginia Beach, where a lot of people looked like her. It was not the case in Iowa, and that made her self-conscious. That unease did not last. Douglas said she and the Partons soon began joking about it, saying: “ ‘Look, black person down the street. I told you there was at least one other black person in Iowa!’ We just try to be positive about it.” That positive attitude rubbed off as Douglas, who came to Iowa shy and reserved, was soon bursting with bubbliness. Although she saw her mother only four times in two years, she blossomed. At the gym, she smiled more because Chow wanted her to have fun. At home, she relished being a big sister to the Parton girls. Douglas had more reason to grin last March when she was the alternate at the American Cup but outscored Jordyn Wieber, the reigning world champion. She then beat Wieber at the Olympic Trialslast month. The questions about Douglas’s ability to focus persisted. At the Olympic Trials, Karolyi scolded her for looking at the crowd before her routine on the balance beam. Douglas said concentrating was not easy. “It’s very tough for me to focus,” she said. “I’m like, ‘Look, something shiny! No, focus. Oh, there goes a butterfly!’ ” But on Thursday, as Douglas was going to the Olympic arena, her mother called and said, “I believe in you, baby.” Douglas said, “I believe, too.” That was all Douglas needed to have the night of her life. She landed a huge vault to start off and never relinquished the lead. Afterward, Karolyi said she couldn’t recall “anybody this quickly rising from an average good gymnast to a fantastic one.” Douglas said she had forgotten that a victory would make her the first black Olympic champion in the all-around. But in June, after the national championships, she explained exactly how much that would mean to her. “I have an advantage because I’m the underdog and I’m black and no one thinks I’d ever win,” she said. “Well, I’m going to inspire so many people. Everybody will be talking about, how did she come up so fast? But I’m ready to shine.” And shine she did, ending Thursday night with her hand on her heart, watching the American flag being raised in the arena. In the stands nearby, her family — including her mother and her stand-in parents — huddled together and beamed.