welcome to health care magic..
you didn't mention here that how old is your daughter?
i think she is under 10 yrs right?
regarding your query she had got complications like bacterial infections(39.6 degree Celsius is an high grade temperature)and you are telling that she is delirious some times,....,so mam/sir dont do delay consult pediatrician(if she is below 14)/general physician..
if the fever
goes to head that is encephalitis
it is too dangerous..
hope you understand my suggestion..
have a speedy recovery.