Nancy Joan Simons (born May 20, 1938), later known by her married name Nancy Peterson, is an American former competition swimmer and Olympic medalist.

She represented the United States as an eighteen-year-old at the 1956 Summer Olympics in Melbourne, where she won a silver medal as a member of the second-place U.S. team in the women's 4×100-meter freestyle relay with Sylvia Ruuska, Shelley Mann and Joan Rosazza.

[1] She also competed individually in the women's 100-meter freestyle, but did not advance beyond the event semifinals.

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