gramma, I feel your pain. I cannot imagine what it's been like for almost 3 months! You have to ask yourself if you can go without a break, your sanity and disrupting the other children's sleep all for one child. That does not seem fair to the other children or to you.

I would terminate. Sleep is not negotiable over here. My newbies learn within a week at max. that they need to stay quiet and/or sleep during nap time.

This child would do better in a centre care where there is more staff on hand and will allow a non-napper.