Help 22/410 stevens... Stuck Stock.

That quarter-sized plug in the buttplate has to come out to get at the screw that holds the stock to the receiver. Although the stock screw itself is a bit different for Tenite vs. wood, it works the same -- tighten it up to tighten the stock. If the big plug does nothing when you turn it, it probably has stripped threads in the Tenite. I'm not sure how to advise getting it out if the Tenite is stripped. You might have to drill a small hole in it to somehow get a hook of some kind in it to give you some pulling pressure as you try to turn it counterclockwise; that might let the big plug grab any remaining threads. Or maybe epoxy something to it to grab onto as you try to add pulling pressure as you try to turn it out. If you get the big plug out, you'll have access to the regular type of long screw that holds most single-shot stocks on guns. I've found those stock bolts, as they're called, usually come loose fairly easily with a large enough screwdriver. If you get to it and find it won't turn, find a way to run some penetrating oil down into the stock to try to break loose any rust. The butt plate on the Tenite stock won't come off -- it is permanently attached to the Tenite unless you saw it off (which I would never advise); that's why you see no seam. I assume your gun is marked as a "Stevens Model .22-.410." If so, your gun couldn't have been made in 1959, because the 24s as of 1950 were "Savage Model 24" in various configurations. The Tenite guns were about 1939 or '40 to '48 or '49 (experts differ on exact dates, but never into the 1950s). Good luck with it; you got it at a decent price if it's the one I'm thinking of.