My wife and I are getting a divorce. Her name is not on the mortgage and she doesn't make any of the mortgage payments, but her name is on the deed. Does she have any legal rights to the house?

Yes, if her name is on the deed, she is owner of the house as much as you, and you will have to settle the issue with your divorce lawyers or in court.

Yes, if her name is on the deed she has some claim, Also in many states even if her name was not on the deed, but if the property was purchaes while married, there still con be a claim.