US WW2 Enlisted man’s service cap OD

Early enlisted man’s cap with leather visor. Has 2 buttons on the side to secure the chinstrap and 2 vent holes on each side. It is a large size 7 1/, fits on a modern head. In the leather headband there is a name inscribed, BEACH, B-6219. This can be narrowed down to two possible matches:

12026219 Beach, Edmund E Jr, Nassau, New York, Enlisted 16 February 1941, Born 1921
35876219 Beach, Jerome M., Alaska, Enlisted 15 September 1943, Born 1912