The neighbors on the other side of us are mad at us as well.... we went to their house 4 times to explain that their dog which ran the neighborhood was killing our chickens... Although we have a fenced in barn area, we don't clip their wings, so they can fly over the top but still are well in our yard.... They denied that it was their dog until one day I was coming home and their dog was in my driveway with a chicken in his mouth and they were pulling in their driveway and heard me yelling.... We ended up getting animal control involved because they just would not keep their dog out of our yard.... We have horse fence between our yards and the dog would dig under the bottom rail.... I think they ended up getting rid of the dog and they blame us....
Hey when the neighbor three doors down's dog came into my yard and killed one of my chickens they were soooo apologetic and paid me for the hen... and we've never had the dog in our yard again and I've even seen him so I know they still have him....
I just think there are rude people out there and I take responsibility for my animals and do my best to ensure they don't get on other people's property....