You know, there's a lot missing from this story. I see a very plausible explanation here: the entire family has fallen on hard times. They "stole" the credit card and used it to buy groceries at the Price Chopper (a grocery store, correct?). After all, the family lived together. It's not like they were using it to buy frivolous items. That's the first thing that makes me go hmmm.
Next thing: the family members returned to the home of the elderly parents. Why? Maybe because the elderly parents needed their offspring to care for them???? Now the police are keeping that from them?
The story flings around this word "victim," but I dunno. I am really not convinced. What if they were all in on it together? How come there is no comment from the elderly parents? There is so much missing information here.