Possibly. The primary responsibility for the bills would be any medical insurance. If none, then the next "party" responsible is the Estate of the deceased spouse. If there are no assets in the estate, then the medical care providers could turn to the living spouse. Under 62 Pa.C.S. § 1973 a spouse may have an obligation to financially assist with payment of medical bills for the spouse. Most doctors and hospitals will work with you and accept a compromised amount in payment. You probably need legal assistance with handling any such claims.