Beautiful. I'd imagine they'll have all sorts of lovely conversations about flying, and Toph will try to convince her that travelling by earth is WAAAAAY better and how do you feel about spelunking, Noelle. :|a

If she lives with Yeager, than yeah, she probably would know Lindsay that way, even if she does eventually move. She'd probably know her well enough to recognize her just by that alone! Though yeah, she could just be a passing acquaintance.