Does the family have to pay the debts(credit card bills etc.) of a deceased parent when the estate is being settled?

The parent in question has no money and will leave a large credit card bill used mostly to pay living and medical expenses. Will the children have to pay the bill? I was told the debt is wrote off by the credit card company as a lose. The childrens names are not on the account jointly only the parents.The parent has no property or assets. They live with one child who takes care of the bills by power of attorney and has had to use the card to pay medical expenses and living expenses for the parent. The child gave up a full time job to take care of the parent and doesn't have the income to pay for the parents expenses. Was I told the truth or is this wrong. Thanks