You’ll want to create a new Apple ID. You can do that here:
https://appleid.apple.com/account#!&page=create
Then you’ll want to go to Settings, Tap your daughter’s name at the top, then scroll to the bottom and tap Sign Out. Once the account is signed out, sign in with the newly created Apple ID.
If you’re still seeing things for your other daughter on the device it might actually be easier to erase the device and start from scratch. Just create the Apple ID, then go to Settings > General > Reset > Erase Content and Settings. This will reset the device back to factory direct, as if it were just being taken out of the box. Sign in using the new Apple ID and password.
Hope this helps!