Here are the 1899 Philadelphia Phillies with 3 dogs. (I do not own this.)
I started a thread in Baseball Fever in 2012 called "Dogs of the Deadball Era" that has lots of team photos from that period and from the nineteenth century (thirteen years ago I didn't know yet that the "Deadball Era" was defined as 1901-1919). There are currently 200 posts in that thread, most of them with team pictures. You can peruse the posted images at this link:
https://www.baseball-fever.com/forum...-Deadball-Era=