I'm voting Jockey. Pants make no sense for baseball or what I've seen in the period, and boots look like jockey boots. Flat bottomed, thin boots as these appear to be have been jockey style boots for a VERY long time. Though they are a little low.
Hat and pants also look like good matches.
here's one with lower style boots.
and another with pretty good matches.
hard to find photos though.
Uniform just looks too form-fitting and flimsy which describes Jockey attire as opposed to 19th century baseball attire:
I've been wrong before, and I might even be wrong again someday