This song isn't actually about a dog. No no, it's about a guy.
This song, the lead track from their 1987 album Galaxy 500, is one of my favorites by them. Produced by the great Don Dixon, it's kind of like a country grunge romp - that, in 1987, the world was not ready to hear yet.
The version here is a later live version of the song, which captures perfectly the energy that Hope Nichols brought to literally everything she did.