Thanks everyone. Wow, this certainly isn't cut and dried. The couple bought the property well after they were married, so it's definitely joint property. It's interesting about being a resident, because that's what our neighborhood was wondering. Since he hasn't been living there and she kicked him out, he isn't living there anymore, so he's not allowed back.

But the other argument also makes sense, that it's his home too. I can't talk to the neighbor because they have been thieving from the rest of the neighborhood and we don't talk to them anymore. We hear what's going on through the kids at school. So I don't know if she is talking to a lawyer. We'd love for the whole family to just move away, but as it goes with neighbors, they just keep hanging around. We are worried what will happen when his restraining order expires. We are really hoping that she is going to try to get a permanent order.

To make things even worse, he is living on disability, so the rumor is she won't divorce him because if she does, then she won't get the money per kid anymore. It's a real mess.
Thanks again everyone!