Thanks for all of the wonderful replies. The main thing I've done, or actually not done, is push her. If she wants to shoot, I let her, if she doesn't, oh well. Its only been recently that I've helped her change her grip on the string a little and getting her arms in line. The rest is all her. Funny everyone has mentioned the Olympic thing. I have a deep yard and we will soon be getting an Olympic style target. She loves long distance.
The next best part....we are in the process of making my nephew arrows for his fourth birthday on Sunday. Cousin Cohen is getting his first bow too