Ralph Dunham would have been too old for ETO duty.
Most likely, the fable in question accreted about the service record of Charles Payne, Obama’s grandmother (the white one he threw under the bus)’s brother.
Dunham, Ralph E. Inducted 28 May 1942, Army 37203549 Registered, order # 1180 Mound City, Linn Co. (Board # 1) Serial # also assigned to Lawrence W. Solomon
Dunham, Stanley A. Enlisted 18 June 1942, Army 17056069 Unregistered Augusta, Butler Co. (Board # 2)
BHOs grandfather and great-uncle.