Do i as spouse have to pay hospital bills after husband dies?

In 1986 there was the case of ST. JOSEPH HOSP. v. PINSON which held that a spouse is liable to pay for the  other spouse's necessary medical expenses even if there is not a signed agreement to do so. That is the last case that I can find that addresses this issue and so as far as I can tell it is still good law. However, in the absence of you signing a specific agreement to be responsible for those bills, I think that the current courts would not hold you liable for his medical expenses.