The parents probably won't even pay those bills.
They'll just call the credit card company, dispute the charge, and tell them it must be an error. No individual generally sees those sorts of charges from Facebook.
$100 on Facebook, sure.
$1000, probably not.
$10K, no way. The CC company is going to believe it is an error. It is wayyyyy out of line. No source is needed.
Of course, it's not certain. I said probably. There is a difference between FB giving a refund and a credit card dispute. The dispute may fail and they will be forced to pay , since the charges are technically legitimate. If Facebook simply refunds them, there is no chance of them paying. The rational thing for FB is to never refund them, take what you can get...