I'm having a very unfortunate issue:
Gravestones will kill dogs! They walk into them and die, I'm guessing it is suffocation damage. I am assuming the same will probably happen with cats, chickens, and other 1-space high creatures. I almost lost my faithful hound! I had to run far enough away that he teleported to me quickly.

I've attached a screen shot of a fresh village that I generated and walked a dog into the graveyard to demonstrate.