I would push her first A time - it needs to be up near 3hr to get her onto 2 naps, really, and that should discourage the early morning cot party too. That should get that first nap to be a more consistent length as well. Don't push it all at once though - that will result in some serious OT at nap time, just 10-15mins then hold for a couple of days, then increase again.
Just checking - has she had the reflux meds dosage reviewed recently wrt weight? She may be not in pain, but just in enough discomfort to not be able to get back to sleep, but my bet would be needing to push that A time from what you've said.