I am buying a home in houston mortgage is current I owe back taxes on house, can I deed house over to husband and will I be resposbile for taxes owed? Or any liens if any?

Normally taxes have to be paid at the closing of a home sale ( signing it over is still a sale) but if not paid, the husband would also become liable for the taxes.

Normally you will not be able to transfer ownship if there is a lien unless that lien is paid off.

If there is a mortgage you will have to get their permission first, since normally a transfer makes the mortgage payable in full.