It sounds like you're playing on an Apple device, am I right?
If yes, this means that your daughter game records is still saved on the device so in order to completely log her out, follow these steps:
- Disconnect the game from Facebook (if you have it connected). - Delete Facebook App if you have it installed. - Clear cache from your Safari: http://www.imore.com/how-clear-stored-website-data-ios-7-safari (this is super important). - Restart the device and try connecting the game back to your own Facebook so your progress can sync.