What can I do to get my name off our house?

First of all, you have your terminology backward. 'Getting your name off the house' usually refers to the deed. That's simple - you just sign over a quit claim deed or other general warranty type deed and - done - name off the house. You appear to be referring to removing your name from the mortgage or other type financial lien - not quite so easy. A lender / lien holder is most likely not going to let you off the hook financially unless some other person refinances or other wise pays off the current mortgage / indebtedness. Once that has been done - boom - your name is off the mortgage and you have no more financial responsibility for the house. Obviously, if you are on the deed and on the mortgage, you will want to wait until the refinancing or payment in full has been made BEFORE you sign over the deed or you are likely to find yourself in the position that many stupid people do of owing money on property that you no longer own or have even an ownership interest in.