Woodwinds are named that because of the wooden reeds used to make sound. Despite being made of brass or other metals, saxophones still use a wooden reed. Still a fun quiz though!
Thanks for your compliment! But I disagree with your point: Flutes are also considered woodwind instruments, and they don't have a reed at all, just an edge.
As for Kansas City, well, it's a double city, one of which is indeed in Kansas.