Hmm, i'm finally diving into the SRD and this idea...might not fit the Object's definition:
The Object cannot act alone, it needs to be used by an Agent.
Unless I commit to focus on the Horse's interactions with the rider and the places they venture into, I need to find a solution to make it "stationary" in some way. But is the Horse always docile? Can the Horse run away? Can it throw off its Rider?
Questions questions questions.