Henne won a gold medal by swimming the anchor leg for the winning U.S. team in the women's 4×100-meter freestyle relay.

[1] She and her relay teammates Jane Barkman, Linda Gustavson and Susan Pedersen set a new Olympic record of 4:02.5 in the event final.

[1][2] She also swam for the gold medal-winning U.S. team in the preliminary heats of the 4×100-meter medley relay,[1] but, under the international swimming rules in effect in 1960, did not receive a medal because she did not participate in the event final.

Individually, Henne won a gold medal for her first-place finish in the women's 100-meter freestyle.

[3] She also received a silver medal for her runner-up finish in the 200-meter freestyle,[4] and a bronze for her third-place performance in the 200-meter individual medley.