I started shooting at 4 or 5, but wasn't allowed to actally OWN my own gun until I was 10. I bought my first 20 gauge then, for $200.00. Still have it, and love it.
Dad started out just making me watch and learn safety from him and my brother, then he let me pull the trigger (he took the recoil) and then he showed me how to load the gun etc.
First thing I ever shot was a possum-with my dads .22.lol
Good luck with your daughter-I think thats great that you want to get her interested in hunting and shooting.