I agree with the others. There is no need to beat her up with a 12. Just call them in range. It's waaay more fun to have them in your lap.
A Rem 11-87 20ga is what my daughter uses. My gun dealer advised me to buy a regularly sized gun and purchase a youth stock on Ebay, separately. It is less expensive than buying the youth model. Plus, we have a full sized gun later on. But, if I were doing it all over again, I would look into something with a thumb hole stock. Wow, they tuck right in there. My daughter picked one up the other day and loved it.