If it's not major or minor league, I don't know much about researching a photo. This one has a Chilicoth Mo. studio mark (J. B. Huffman) , on the back is an 1899 date and the names and home towns of the players. The towns are Purdin, Irene, and Grant City Mo. The owner of the photo would like some tips on researching this.
Contacting local historical societies if the towns still exist seems like an obvious starting point.