Oooo, pretty. It's a castle wheel. Single treadle... Don't know the maker. Maybe try googling "spinning wheels" and look at makes to guess the manufacturer? Woolery.com is a good start. They have pics and details about spinning wheel parts.
Definite must to fix flyer. Will need to make an orifice hook. Give it a new waxing to make it pretty. Drive band. Other than that, if it treadles and sucks up the singles onto the bobbin, then it works. Well worth the fix up time.