Am I liable for my late wife's credit card bill?

Question Details: My wife had a credit card in her name only before we got married. Now, she just passed away and had a balance on her card. It was issued to her through a checking/savings account that was set up after we got married. Today I tried to close the account and they refused due to her card having a substancial balance. I do not wish to have an account there nor do I want to pay for the balance on her credit card. Shouldn't I be able to close the account and not be responsable for her credit card (in her name only). They say that in order to have a credit card there you have to have an account. They state the card would first have to be paid off in order to completely close the account.

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