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The answer is no. But of course, it gets more complicated.
Family members are not liable for the debts of the deceased individual, with the exception of spouses in some states and in some circumstances. You are not the spouse, so this would not apply to someone in your situation.
However, the creditor can trace the assets of the estate from the deceased individual and attach these assets to fulfill a civil judgment - if they get one through the court, and if they attempt to trace assets in the first place. With things like titled assets, this is easier. However with items that do not have titles such as furniture, jewelry, etc, this is not.
In addition, if the family members file probate formally for the estate of the deceased individual and give creditors proper notice, then whatever assets were formally transferred to the heirs under probate before the creditors can bring their claim can generally no longer be attached.
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