Career
Peck, a businessman and farmer, was married to the former Estelle Woodard (1893–1983). Their children were William South. Peck, Junior. (1916–1987), who held the same House seat as his father from 1956–1964.
Barbara Jane Peck Gilbert (1922–1987), the first wife of retired State Senator J.C. "Sonny" Gilbert, and Henry C. Peck, Senior
(1919–1987), a Sicily Island banker, contractor, cattleman, and farmer. He was affiliated with the Methodist Church.