L.S.
If my son is sick and has nose dripping and a cough I usually give him benedryl and this gets him through the night. What time is she going to bed in the evening? Is she taking naps during the day? The waking up early could be a phase. I would get her a daytime/nightime kids clock and tell her she cannot get out of bed until she sees certain numbers or a sun up (there are cute clocks that a sun will show when it is time to get up). Perhaps an evening snack might help her get through the night if she is getting up hungry. Good luck.