@skeeter I know you want your daughter to learn a lesson but you can also call the CC company and say that you didn't authorized those charges which is the truth and request a chargeback, I'm sure you can get your money back.
Edit: Some family member used my MasterCard on the Xbox Marketplace and bought two games without my permission which was around $170 and I called the CC company and it took a week for them to reverse the transactions.