Both my older two quit napping by 18 months. We have always had a 7pm bedtime.
I definitely think she sounds OVER tired, and I bet you see great improvement with an earlier bedtime.
She is going to have lots of problems if she has been in the habbit of an 11 to 1am bedtime on any regular basis. (I realize you tried to get her asleep earlier than this.
) Sometimes when we try to do bed after they reach that tired point (usually much earlier than most people think) then it really CAN take hours for them to finally fall asleep.
I really like the idea of water play/bath for the "witching hour" as it's called in many homes.