Her behavior sounds like it may be triggered by anxiety and is also attention seeking.
Counseling would be something to look into only if you and him are not able to remedy the situation.
You would want to find out- 1/ what may be her trigger for this behavior, has there ever been a time when there were no problems with sleep, does she have nightmares or night terrors, and if the day care situation is one of the main anxiety provoking triggers.
She should be able to articulate what is upsetting her. You may want to engage her in age appropriate play prior bed time (with dolls or hand puppets ) and pretend you are her and falling asleep. Then, change the version as to where she is you and is to tell you why sleeping is important.
She may also have attachment issues. That usually would decrease as she gets older. It would be important not to feed into her behavior though. That would only enable it further. Papa will have to set some clear limits with Lessie and follow through. You can help by engaging her and getting her to trust you. She may be able to articulate her worries/anxieties to you.
You can also use play to help her deal with her anxiety. Get a lavender mist spray and tell her that it has special powers (it wards of bad things during sleep, bad dreams etc) Spray it on her pillow at bed time and let her know that big girls don't run to Papa every time something happens. This may be caused by the moving from one place to another and if her bed time routines are different at each house.