Oldsoldier;
The only real choice is the Savage. It's available in a youth version with the shorter stock. When she grows, just purchase the full-size stock & bingo!
I owned the Savage LHB MKII & found it to be an excellent gun for the price. They're easy to work on if you care to do so & reward your good work with very respectable accuracy. I cleaned all the left over 'hair' from a dull inlet cutter out of the stock's interior on mine. Then I free-floated the barrel from the tip of the stock back, but left about 2" in front of the mounting screw bedded. Seal the interior of the stock from moisture also, since you'll have the action out. A scrap piece of aluminum tube will also allow you to pillar the mounting screw if you care to do so.
Mine would then easily shoot to minute-of-gopher at 75 yards, good enough for me.
All the above being said, I sold the gun to a guy I know who's son was also left master eyed & starting to shoot. I replaced it with the CZ452 LHB. The CZ is more gun, better quality, and more accurate. It also costs considerably more money too. I do believe I'll buy another Savage, just to keep as a pick-up truck knock around & left hand loaner .22.
900F