How to get name off home loan for a home you don't live in anymore? 

If you took out the loan with this woman and you are a signatory to the loan, you *can't* get your name off it. The bank doesn't care whether you live with her or not; all they care about is you borrowed money, signed for a loan, and they can look to you (as well as to her) for repayment. (Technically, the bank could let you off the loan, but why would they? It's in their interest to have two people, not one, to repay it.)

You do own part of the house, if your name is also on the deed (whatever share reflects how much you paid for the home or took on as your share of the loan). That means that you have a say in what happens to it and get a share of the proceeds when it sells. You might be able to use that leverage to get the woman to buy share out, such as by financing the loan without you. However, if you don't own part of the home--if you're only a signatory to the loan--you have the liability without the advantages or leverage.