While awaiting transportation from Governors Island in New York to his first assignment after graduating from West Point, Gorham renewed a previous acquaintance with Corrine "Colonel" Bennett (later Clarke) (October 21, 1917 – October 20, 2001). They had met for the first time a few years earlier at an army football game. Bennett was then a senior at the University of Wichita where she was president of the Pi Beta Phi sorority (then called the Sorosis Sorority), captain of the rifle team and had held titles in both golf and tennis. The two were married on June 21, 1939, in Wichita, Kansas. The couple had one child, Bruce Bennett Gorham Clarke (born January 26, 1943, at Ft. Benning, GA). Clarke followed in his father's footsteps graduating from West Point, serving in an airborne unit, fighting in Vietnam at Khe Sanh and commanding at every level from a platoon to a brigade.