Ditto to all the above! My oldest grandson stopped napping at age 1 and he was in a daycare centre so you can bet he had to lay on his cot for the entire quiet time with all the other children. That's what my contract states too, that quiet time/naptime is for all children to rest their bodies and their minds. And I'm honest with parents at the interview that I need that break because I have a lot of work still to do even after the children leave.

I do know some daycare providers who set up a movie or quiet activities for older children who have outgrown their nap but that would be hard to do for a 2 year old so if I were in your shoes I'd give her a few books and quiet toys and make sure she learns that she must stay quiet for her friends.