IceCreamMan wrote
i normally use a piece of matchstick or toothpick in the whole to wedge the screw with a bit of wood glue (lil bit)
seems to work well enough
+1 . . . will definitely do the trick.
For smaller screw holes that are a little stripped, I put a bit of super glue into the hole and let dry. Works a charm. But with your strap button I would certainly put some more "meat" into the hole.