"What sort of favor?" She shouldn't grab this so readily... but it's a chance to go back home and be sure everyone is ok. She can't pass it up so easily.

"I could do something in return for finding a way home. Do you need..."

What DOES a sharp dressed man need?

"Someone to do the laundry? Or go get a new pair of shoes?"

Can't blame a kid for guessing, at least.