Do I have to pay the final utility bill for my deceased mother's?
You, personally, are not responsible for any of her debts. If there is money left over in the estate after all final expenses are paid, then debts must be paid. Otherwise you have no legal obligation to pay off debts. Creditors seem to come out of the woodwork when parents die. They will tell every lie they have in their arsenal to convince you its now your personal responsibility. Its not.