Close up of the ball bags.
The scorekeeper's saddle is of an English/military type but it had a horn. This particular saddle also has wooden, Western style stirrups. I wouldn't bet on those being part of the original rigging. Although the museum curator was very well versed in the intricacies of the carriages and cars, I sensed he was less knowledgeable about the tack. It wouldn't surprise me at all to learn that these stirrups were added after the fact.
Like many saddles in the collection, this one was pretty narrow when viewed from the front. They must have had some pretty slab-sided critters back then!