You may try to fix her schedule (I just learnt from other BK friend).
feeding time 7am, 11am, 3pm, 7pm, 11 pm and 3am. try to let baby feed on time and play at least 1-2 hours after milking. I tried this schedule for 3 days. It seems work wor.
My BB can extend her feeding time from 3am to 4:30 last nite. and her schedule is much better these 3 days.
I'd let her sleep since 11pm, and no play with her. If she doesn't ask for milk at 3am, I will not feed her.
My BB plays after meal in day time (7am, 11am 3pm and take bath at 4pm) and play around a hour 8-9pm or 9-10 pm in the evening. I'd try to seperate her "play time" in day time, so that she maybe tired in the mid night.
Hope this help.
Before I try this schedule, my BB would awake from 5am and didn't sleep until 5pm (12 hrs).