Wow - welcome to the forum and the daycare world.

I agree with crayola - It is not realistic to expect that a provider holds a child for 1 hour so that the child will sleep. You need and deserve a break too.

Tell the parents that this needs to change and see if they would be willing to try sleep training at home and you also do it at your house while the child is there. There will be tears for the first week but then it should make everyone's life easier.

Explain to the parents that during nap you need to clean up the lunch dishes and also prepare snacks and eat your own lunch and that you are getting exhausted losing an hour holding their child and that it is not possible to hold their child because you have other children/tasks taht need to be done during that time. Ask them what they propose and whether they can work on this at home