Thanks B.T. In your email, I responded that in my opinion, it is an interesting gun with the Paris after the word Damascus and asked if it was the same style of stamp. I believe it could have spent some time overseas and went to a proof house there. Pictures of the proof marks might help to determine what it is.
The Syracuse and early Fulton's don't have any proof marks on them. Catalogs of this period say they are proofed at the factory with a double charge of powder used at the time gun was made. Later Fulton guns have a proof mark on the barrels water table, and I believe that started in the early 20's.