My dogs are fenced in at home, and my chickens are on my property almost always. If one of my birds visits the neighbor's, and is killed by their dog, it's my fault for having the bird over there.
Fencing!!!
We all work to keep our animals where they belong, on our own property. If some critter escapes and does harm, we pay up. If there's an unauthorized visitor, and that critter is damaged, it should have been at home.
Out here in the 'boonies', we just can't have cattle, horses, dogs, or whatever wandering everywhere at will. That includes poultry.
Mary