Most endos will tell you that you can dose when the child wakes as you are.  But be very careful with this.  I dosed my son at 6am 2pm and at bedtime.  By the time he reached the age of 6 his bone age had advanced 5 years.  You might want to check into the circadian rhythm dosing or at least start giving an early morning dose.  Our endo told us last week that the child needs the cortef at least 1 hour before they wake up.  He did a study at Cincinnati Childrens and found that almost all the childrens levels started increasing at that time.