We each had a mortgage prior to our marriage, we live in my home, and pay a higher interest amount due to the loan amount. Can we claim my home as our primary if his name is not on the loan, but he is listed first on the federal tax refund? I know I can claim interest on up to two mortgages, but my name must be on both. Help!

If you file jointly, just claim the interest on the two.
if you start renting out one home, go the interest and expenses to schedule E.