They are not responsible for credit card or other creditor debt unless they are joint account holders, nor are they responsible to pay medical bills unless they signed a written agreement to do so. Life insurance death benefits are not subject to creditor attachment or to probate procedure when there is a named beneficiary. No, but your estate is. If you have any property that you WANTED to go to the children, the courts will sell the property to pay outstanding debts. That is often the reason probate takes so long.