I'm afraid, if the car is subject to a finance agreement, it belongs to the finance company and not to the person who sold it to her.
He therefore sold something he does not own... and the finance company are legally able to reposess the car ad they will do so, wthout any need to compenate your daughter..
I am going to assume that he showed her a personal loan he took out, but not to pay for the car.
Its a case of buyer beware if buying privately, which is why you need to do all the proper checks like an HPI check, even if they do cost money. As i'm afraid your daughter is going to find out, it is les expensive to pay �30 for an HPI than loose all the money you spend on a dodgy car.
If the car is repossesed all she can do is try taking the seller to small claims court.