Look at Bear Archery. They make cheap (but nice) bows for beginners. I started on a 30lb bow myself, bear brave i believe it was called. They work nicely, and with the 30 pound bow i shot out to 20 yards with it. You should get like a 15 pound bow or so so she doesnt have a hard time with it. Once she gets older and stronger, get a 30 pound bow. Once she outgrows that, you can get her a nicer one, but more expensive. Look for local archery shops, i went to one here in CT and the people are outstanding. They would let you try every single bow in the store, and let you try everything and spend as much time with you as you need. They might not sell these cheaper bows there, but they might be able to steer you in the right direction. Look at a cabelas or bass pro shops or another alike store and they probably have something. Ask someone who looks like they know their stuff.
hope this helps.