I know that this doesn't address your question, but you might look at the Marlin X7Y. I bought a youth model in 7mm08 for my daughter several months ago (she is 2 also, so it will be a few years before she is ready for it) and put a Minox ZA5 2-10x40 scope on it. I just sighted it in at 75 yards with Remington Managed Recoil 140gr CoreLokt ammo and was getting less than 1" groups (not off a bench, just shooting seated) and there is basically no recoil even though it is a very light rifle. I'm thinking about putting a stock extension on it and hunting with it myself until she gets old enough to use it. Not the prettiest gun in the world, but the action is very smooth and the trigger is actually very good to excellent.
BTW, I very highly recommend the Minox scope. I don't have a Ziess to compare it to, but I like it much better than my Nikon Monarch scopes I have on my centerfire rifles.