IMHO, nope. 'Cause any other bank won't know about the unpaid debt to Chase. Chase apparently maintains internal records of wife's old debt, but, it can't lawfully be on her credit report after seven years.

Again, IMHO, be really careful about paying any amount on old debt which can allow creditor to sue you for far more than old debt (interest, legal fees etc.). Reviving old debt is very, very dangerous.