Okay, once you have checked that your AppleID is not used for any services on your daughters iPad, you could try to purge the keychain - however, you should be conscious that this procedure is likely to wipe any credentials (if any) that relate to your daughter. If this is likely to be an issue, then it would be advisable to manually verify/copy, onto paper, any website/account details that you need to save from the local keychain on her iPad before proceeding further.
The significance of ensuring that your AppleID is not used for any services on your daughters iPad is that, with update to to iOS12, there have been reports of information (specifically messages) being combined between users that have shared an AppleID. That said, yours is the first report that I have seen myself that relates to possible merging of keychains.
If/when ready to proceed, attempt to log-out from iCloud on your daughters iPad; when asked if you want to save a local copy of the keychain, you should answer no; this should flush your local (but encrypted) keychain from the iPad.
After waiting for a minute or so, you can log-in to iCloud on your daughters iPad with her AppleID; your daughters cloud-data should re-sync. Assuming that your daughter's AppleID is not logged-in on another device, then no keychain data should exist in the cloud or on the iPad (as we didn't save a local copy when logging-out of iCloud).
If data from your keychain seems to re-appear, it is worth exploring the possibility that you inadvertently merged both keychains at some point. This can be verified by creating a new credential for a website on your daughters iPad; if the new account can be seen within the keychain on her iPad - but not yours - then the keychains are independent. If this is happens - and you're certain that her keychain is now independent of your own - then you can manually delete unwanted entries from your daughters keychain.
If it transpires that a keychain merge has occurred, we can discuss the mechanics of how this may have happened.
If your keychain content somehow remains linked with your daughter AppleID, you should contact Apple Support for advice. Your keychain contains private information that should not be exposed beyond your own account - it is not shared with other accounts.