I wouldn't be too concerned about legalities and such. In Texas, such things are not a matter of criminal law so the cops can't make a person leave a home where they've established residence, and they can't make a person in possession of a home accept another person into that home. It's a matter of civil law and WH would have to file suit if you happen to change the locks and stuff like that. Mind you, you'd lose the suit, but it's highly unlikely this would go that far. I wouldn't worry about that right now. Deal with it if and when it comes around.

Keep on snooping too. Until you're absolutely certain the adultery is over, it's the only way you're going to find out the truth.