Also, if you decide you want your fence replaces, as it was, they will probably have to take down the fence part of that neighbor's fence. I found out the hard way when I replaced my (whole yard) fence a month or so ago, they have to have so much working space on both sides of the fence. I had to lose a snowball bush, two burning bushes, and two clematises. While all this was going on though we had a storm that took out most of a neighbor behind me's 80 ft tall oak tree and dropped it right on my other neighbor behind me's brand new fence that my company had just put in. So, my crew moved from my yard to the yard behind me, and the jerk who owned the tree never offered to pay anything. Then he refused to pay the guy he contracted to clean up the mess. They are in court. So, after than a few bushes didn't seem too bad. Just don't "settle" and don't allow the gate either. That gives those people permission to enter your yard any time they want.