The more I think about it, her explanation sounds even creepier than her asking my H. So, you have a young little girl and you're waiting at the bus, and some guy you've only spoken to once, that very day, says, hey, just leave your little girl with me! And you DO?

I would be very disturbed if some strange man offered to keep on an eye on my daughter.

Marriage is the triumph of imagination over intelligence. Second marriage is the triumph of hope over experience.
(Oscar Wilde)