Hi Sky,
I hope you get better neighbors. Anyone who gives dogs cooked chicken bones are evil-the bones tear up their intestinal lining and make the dog really sick. Although, I'm sure eggshells are okay for them. I'm guilty of throwing eggs at a non-stop barking dog in one of the back yards in our alley way. I didn't want to hurt the dog but I couldn't put up with it's barking all night either. Here in South Philly, the cops won't respond to complaints about dogs barking, even when it's 3 AM so you're left to your own devices. I choose egging the backyard and the mutt who barked for 12 hours straight. It didn't hurt him but it kept him so busy licking the egg off himself that he stopped barking for awhile. The owners of the dog must of had some mess to clean up because he has not been left out all night again since.
I know this sounds mean but when you're desperate for a dog to stop barking it's head off for hours on end-you want to be kind but you also want to get your point across.
I hope you can train your puppy in your back yard now.