You might also want to consider lightening the forend
Possibly by shortening it to match the reduced barrel length, or perhaps limited to thinning it along the sides and bottom. This would be for balance, of course (to account for the missing wood at the rear).
It would probably also afford your son's young hands a better grasp on the forend, which in turn raises the likelihood of the pistol grip needing similar reduction.
The good news is, Sears still has some pretty good files, and they've been on sale recently. (FWIW, if I were you, I'd probably go all out and get the 10-inch model...)
One thing's for sure: You've got your work cut out for you − pun most definitely intended. 
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Complete thread:
- kid sizing a 22 rifle -
stonewalrus,
2013-04-09, 06:18
![[*]](themes/default/images/complete_thread.png "Open whole thread")
- kid sizing a 22 rifle -
Mike P,
2013-04-09, 06:37
- kid sizing a 22 rifle -
uncowboy,
2013-04-09, 07:09
- Butt retention ; ) - Mike P, 2013-04-09, 11:19
- kid sizing a 22 rifle -
uncowboy,
2013-04-09, 07:09
- Rich Hoch gave me two kid rifles years ago... - Paul, 2013-04-09, 07:44
- Since you have two stocks -
FOG,
2013-04-09, 08:49
- I would love to cut back a barrel but can't find one -
stonewalrus,
2013-04-09, 09:25
- How 'bout these? -
Hoot,
2013-04-09, 09:34
- Saw the first one - it is in bad shape - stonewalrus, 2013-04-09, 12:16
- How 'bout these? -
Hoot,
2013-04-09, 09:34
- I would love to cut back a barrel but can't find one -
stonewalrus,
2013-04-09, 09:25
- You might also want to consider lightening the forend - FOG, 2013-04-09, 09:05
- kid sizing a 22 rifle -
Mike P,
2013-04-09, 06:37