The estate of the parent is to pay off the debts. If the estate cannot do so, they distribute as best they can. If the court approves the distribution, the debts are ended.
she was 9 years old her parent vanished without any evedience
If your name was added on the initial applications (with or without your knowledge) then yes, you would be responsible for the debt. If not, the debt still needs to be paid - and proceeds for that can come out of the deceased person's estate ... for married couples, that can mean ... You ... as the widower is the estate at this point.
A widow (woman) or widower (man) would be someone whose spouse had died after they were married.
No, you are not responsible for his debt. His estate has that responsibility.
because the children might catch it or the parent died with the disease
That child's interest would pass to any living parent and if no parent to their siblings.
Elaine Parent died in 2002.
Bob Parent died in 1987.
Henri Parent died in 1895.
Georges Parent died in 1942.
Clément Parent died in 1884.
In the US:The property that the daughter inherited from her parent would pass to the daughter's heirs-at-law under the laws of intestacy. You can check the laws in your state at the related question link provided below.