My mother and father refinanced their home but they both passed away before it was paid off. My name is listed on the deed along with my mother. Am I responsible for the loan because my name is on the deed but not on the loan?
Heirs do not inherit debts, so no. You (or any other heirs) are not responsible for the mortgage.
However, assets of an estate can be sold to cover the debts of the deceased. In this case, the bank could force the sale of the house in order to pay the outstanding mortgage balance. "Could" becomes the operative word as whether they choose to go after the estate depends on many things. Here only a lawyer in your particular jurisdiction can advise you.
Are you the executor of the estate? Did they have a will?
Sorry for your loss, but you probably need to seek legal assistance.