There was no 337th Infantry Division. 337th Infantry Regiment was organic to the 85th Infantry Division. Company G was an element of the regiment's 2d Battalion. The regimental veterans association may be able to assist in locating former comrades:
337th Infantry Reunion Association c/o William C. Mitchell 2332 21st Street, Southwest Akron, OH 44314-1921 (330)753-6045
His deceased file may answer a few of your questions. You'll find instructions on how to order at Message #2112 (go back to the main page, enter "2112" in the box in the upper right corner that reads, "Jump to #_____" then click on "Go").