I initially thought perhaps cherry also, but looking at it as closely as I can on a computer screen, I think it's a bit too grainy to be cherry. I'm like 99.9% positive it's one of the mahogany variants. Figuring out which one, though - good luck.
If it's good and hard, it will shape well, cut well and take carving very well; there's a reason so much fine furniture was made of mahogany. However, I personally do not like it for a gunstock. For lack of a better way to describe it, I find most mahogany that I have worked (and much of it true South American mahogany, not the African stuff) more prone to crack or split with a good hard blow than any of the American woods typically used. In other words, if you gave the buttstock a really hard whack or knock or tumble, I would bet that the mahogany would split cleanly right through the wrist before either cherry, walnut or maple would do so.
