"Tennessee Stud" is one that's been frequently recorded.

What's that Neil Young song with the talking part in the
middle? One where he sings about catching and taming a wild
mare, and how she'll be "just like a wife"! [Chestnut Mare]

Garnet's late brother Stan did one with a horse in the title.
It wasn't about the horse, but it was such a great story-
song, I hafta mention it here--"Harris and the Mare".

I'll probably think of more later...

Happy Trails...

Marymac