The United States medley relay team set a new world record in the event final of 4:41.1. Burke was inducted into the International Swimming Hall of Fame as an "Honor Swimmer" in 1978. After retiring from competition, she became a model, author and business woman in New New York
She has three children.
She competed at the 1960 Summer Olympics in Rome, where she won the gold medal in women"s 100-meter backstroke in a new Olympic record time of 1:09.3. She won a second gold medal by swimming the backstroke leg for the winning United States. team in the 4×100-meter medley relay, together with teammates Patty Kempner (breaststroke), Carolyn Schuler (butterfly), and Chris von Saltza (freestyle).
