Thanks for your responses! My dc parents pay a flat monthly fee, they are not discounted for a late drop off (as the first day will be) as they are paying for their child's spot.
After reading your responses, I was thinking I would charge my before/after hours fee (which is also $10/hour) for when the child will be up and then my drop in rate for the overnight. Does that seem fair?
I'm open from 7 am to 5:30 pm. So it would be $10/hr from 5:30-8:30 pm when the child goes to bed, then drop in rate over night, then the child usually sleeps until 7 am, so that shouldn't be an issue, and then again $10/hr for the 5:30-7:30 pm on the second day.