This handsome gent is likely Arthur Gordon, son of William and Anna Gordon. It’s not a terribly uncommon name, but identification is compounded by the fact that no Arthur Gordon lived in Plymouth directly. This one, or the one I suspect him to be, lived in Highland Park, Wayne county, Michigan. That’s about 30 miles from Plymouth. Too far for a high schooler to travel? Probably in 1930. By 1940, that family lived in Detroit, very close to Highland Park. There’s also the very little issue of the middle initial. In all the documentation of Arthur (son of William and Anna) he had the middle initial of F., not E. When it’s all you have to go on a middle initial gains some weight in the game!
Now to really confuse things: An Arthur “F” Gordon born January 23, 1914 died on new year’s day 1995. He lived in Wayne, Michigan. Then again, an Arthur “E” Gordon born on February 22, 1914 died on February 11, 1999 in Detroit. Hmmmm. Maybe a family member will know which Arthur Gordon is really in this picture.