I think Ogden Arsenal = OG is a dead end
I see boxed [OG] and boxed [O.G.E.K] for Elmer Keith and “ogek” (not enclosed) signified inspector Ed Klouser.
but no
AOG 
I have found Augusta Arsenal—“
AA”—Typically followed with a letter suffix (presumed to be for the inspector supervising overhauls, in my case
a).
Later a number suffix (typically four digits) was sometimes added. These markings may be found stamped on either the left or right side of the stock.
interesting,
though numbers but not letters, in my case
AOG ... the search continues

it's fun !
Perhap AOG was the final inspector or a receiving inspector

A story is attached to this gun, It was in a number range, sent to Ft. Ogelthorpe Ga. POW prison.

I own the gun, not necessarily the story.