HolyMoly you missed out there Glenn!!
It depends what grade archery set up yah want.Shouldnt be more than the kids ability.Do you really need a compound? I know thats whats probably KOOL,But for beginers a recurve in 25-30 lb pull is a excellent startup.Learn with that set up and progress up.Especially for kids who will out grow any bow they get in the compound class. Is it for the backyard? or a club type setting?
They do make compounds cheap for kids.but again you get what you pay for! Recurve!!
look here for guesstimates
http://www.ebay.com/sch/i.html?_kw=Youth&_kw=archery&_kw=set Go to Craigslist type in youth bow,There are many there.
What yah wanna spend? How tall is she? what she weigh? things to think of.