Whenever I came across a wood stock screw that was stripped or wouldn't stay tight, I used an epoxy trick:
Apply a heavy coat of wax to the screw and anywhere you DON'T want the epoxy to stick. As example both sides of the tang holes or both sides of a buttplate screw holes.
Mix up a small batch of 5 minute epoxy.
Pack the hole full of the epoxy and turn in the screw just to the point where it's snug.
Allow about 45 minutes for the epoxy to cure, then remove the screw and trim off the excess that oozed out of the hole.
Allow 24 hours for it to fully cure.
When the screws are put back in you can tighten them very tight and they will hold.
For wax, the best is to go to a hardware, grocery, or most Walmart stores and buy a big yellow can of Johnson's Paste Wax.
This is also the preferred treatment and preservative for modern leather holsters and belts and is also perfect for use as a release agent when glass bedding a rifle or pistol grips.
This makes a stronger and much easier repair then the usual drilling out and installing a dowel, and it's a permanent repair that's stronger then the wood itself.
Since the epoxy forms a perfect fit to the screw, the increased contact prevents the screw from loosening.
It's also more professional then putting toothpicks or steel wool in the hole.