Because you receive a stepped-up basis for the home (equal to its value on the date of your mother’s death), you may have no gain from the sale if it occurs soon. If you sell it for less than this basis, you have a capital loss that can be reported (assuming neither of you uses the home as your personal residence). If you have a gain, it is taxable (no home sale exclusion applies because you did not own and use the home as your principal residence for the requisite time period).
Debt secured by a principal residence or second home to the extent of the excess of fair market value over acquisition debt. An interest deduction is generally allowed for home equity debt up to $100,000 ($50,000 if married filing separately).