This raises a possibility... the bank may be restricted in the future from selling the house in the event of a default if a mother and her children call it a family home. So the bank are disadvantaged in some small way at least.
But no, I don't think the wife could be held responsible for the debts.
Do banks insist on all mortgage holders having insurance to pay in the event of death?, ... and if not what would happen? (and what if it was now a family home?)