I'm thinking Birmingham Barons. Maybe somewhere around 1916. This is a stab but here is Frank O'Rourke from that team. Just a 5 minute search by me turned him up and I think you'd probably do well to search the lineup to try and ID a few more players to pin it to the Barons. He also played for Buffalo in 1913 and Binghamton in 1919.
To me it looks minor league. Not quite major league and certainly not town team. Too organized and pro-like to be town.