During World War II, Moseley served as a Captain in the Marine Corps Air Division as a pilot in the Second Marine Air Wing. He was married in 1947 at Rye, New York, to Virginia Gillette Kleitz.[6] He later joined REA Express, formerly Railway Express Agency, in 1968 and became its chief executive officer until he retired in the mid-1980s.[5][7] He died in 1991 at age 72 in Chicago.[5]
Moseley was ranked as one of the top 20 players in Yale football history by a committee formed in commemoration of the 100th anniversary of the Harvard-Yale game.[5] His father, George Moseley, was an All-American end at Yale, class of 1917.[5]