my daughter forgot her apple id, her phone is broken and we have apple care on it and we do have the original recite

See if you can recover the ID/password.

Apple ID - How to find your Apple    An iCloud e-mail address is an Apple ID.

Apple ID - Find              

Enter the Apple (iCloud) ID and click Forgot Password.

Apple ID - Manage            

Apple ID – Forgot Password            

For the phone repair, if you live near an Apple Store, make a Genius Bar appointment to have the device/computer tested. Supposedly there is no charge for testing. Use 2nd link if not near an Apple Store or aren’t in the US. Take the original purchase receipt and your Apple Care plan with you.

Genius Bar Reservation US.    

Authorized Service Provider.