L.C.
Who is the parent? If it's Dad's turn to put her to bed, it's Dad's turn. She can fuss and whine and cry, but it's Dad's turn. He needs to be firm - but the fact is, he can't be bothered. He needs to suck it up and deal - -and YOU need to make him deal. Pick some days - M, W, F that he will do bath and that's his day... whatever! Just make him do it and make him make her suck it up, too.
If I had nickel for every time I heard my friends complain that their husbands said, "She'll want you anyway"!!
My husband did bath and bed time stories once the kids could sit up in the bathtub unassisted. I would run in and listen to stories once in a while and I always gave the last good night kiss -- and then I ran right out. I did not lie down with the kids. I did not spend one more second because if you give an inch, they take a mile.
If your child stays in her bed and plays, that's fine. She doesn't have to go right to sleep. Do you?? We allowed the kids to have a book or two to read while they were falling asleep -- no lights, though. :-)
Relax. Make your husband share the load after work.
LBC