If your daughter is your dependent, then only you may claim the credit.
If your daughter is otherwise eligible to claim the credit but isn't paying for half of her living expenses, and you don't claim the credit, no one gets the credit.
If TurboTax is allowing your daughter to claim it, then she may be making an error in entry somewhere in the return.
The IRS has a tool to
determine
if you are eligible for an education credit that you may find helpful.
