Definitely weird that she seems to be all concerned about these things, but is not even interviewing anyone else. So, did you let her know it was out of line?
I just think it was weird..... and I agree that if these are the criteria, she is looking at the WRONG things. There is none of the things I would be asking. And she seems overly concerned about sick days, etc?? That would be a red-flag for me, because truthfully there WILL be times that I need to close. This will be the mom that makes it a gigantic issue!