Oh ya that is a tough one ~ very kind of you to offer the overnight stay because has big as my heart can be I so value being able to sleep through the night and do not trust preschoolers to do to the same

If they have to be at the hospital at 5am whose dropping her off at 6am and why so early than?

I agree I would be miffed if I offered to be generous to someone and they than tried to 'negotiate' that generosity into something else ~ although to give them the benefit of the doubt they might be thinking they were being 'easier' on you to not take her for the night not realizing that it actually makes it 'harder' to have her arrive awake at that time verses just spending the night?