Lou, you’re right about it being a hoof parer, some times called a hoof knife.
I have one of the "hammer" type things at the bottom of the picture. I have no idea what it is or what it was used for. Pat Leach had one on his December tool list, and he didn’t know what it was either...although he had it priced at $125, which I thought was a bit much for an unknown tool.
Mike