Tegretol should not be stopped immediately. really no medicine should unless you are on a dose so low that you aren't on a therapeutic level of it in the first place.
It took me 7 months to wean off the tegretol when I was in high school, but I don't remember what dose I was on to begin with - I'm sure it was pretty high.
Stopping any medication immediately puts you at significant increased risk for seizures, particularly of a type you've never had before and of Status Epilepticus
If you stop your daughter's medicine immediately you can also wind up in trouble with CPS for endangering her life - which is what you will be doing.
I used to skip my tegretol for weeks at a time because I hated it and I seemed to be fine, but it is playing russian roulette with your life when you do something like that