Granny - all I can say is Im glad I'm not your neighbor. This topic has been gone over time and time again....but in my opinion there is no place hot enough for people like you. Killing a dog is not something that should be done lightly....if the animal is someones pet and someones family and it happens to have wandered onto your property - you killing it is just wrong if it is doing nothing wrong other than being on your property.
IF it is an IMMINENT threat to your livestock, then I can see shooting it, but then only after you tried to catch it and approach the owners about it.
I understand many ranchers cant stand dogs - but ranchers need to understand that many dog people treat their dogs as family. All I can say is I am 100% happy not living anywhere near you. If someone shot my dog for crossing under a fence and nothing else, I dont know what I would do but I can assure everyone it would be something drastic, vindictive, and extremely costly to that other person tens of thousands of dollars and you would never know it was me...I hope you get neighbors like me soon.
I have cows and I have dogs...there is a thing called common sense, more and more I feel like everyone in this world has lost it... people who just shoot everything have lost it. You clearly have none and its a shame as your in the business of raising animals. One would think you would have more sense & empathy.
FWIW - I hate pits but I would have a long conversation with my neighbor long before I shot the dog unless it was attacking my animals.