On August 17, 1962, Whitman and Leissner were married in a Catholic ceremony held in Leissner's hometown of Needville, Texas. The couple chose the 22nd wedding anniversary of Whitman's parents as the date for their wedding. Whitman's family drove from Florida to Texas to attend the event, and his younger brother Patrick served as best man. Fr. Leduc, a Whitman family friend, presided over the ceremony. Leissner's family and friends approved of her choice of husband, describing Whitman as a "handsome young man" who was both intelligent, and aspirational.