The rifle appears to be rather late, perhaps after the Civil War based on stock shape around lock and wrist. I can only enlarge the first two larger images you posted, since the smaller ones jump to advertising when I click on them. But I'd take a close look at all the edges where brass mounts touch the stock wood. If an old/original stock, there is usually a bit of darker wood next to the brass edges, where oxides have rubbed off into the stock wood over the years. Even when heavily sanded and refinished, usually a bit of darker color can be found on restored guns next to some of its brass furniture.
Since I cannot enlarge several of the images, I'm using only the first two larger images for my comments. I think this is an original stock, heavily refinished, on a late rifle. One detail that looks good in the top image is how thin and well-rounded the edges of the forestock are. Modern restocks of moderate quality often have slightly wider forestock walls, and leave a small, tell-tale flat area on the top edge. While forestock edges on fine restock jobs look more "original," on lower value guns where a fine restock is not warranted, you can usually see small, less refined, areas that indicate modern work. I think you have a good stock, just heavily refinished on this gun.
By the way, where did you find "H. Taylor" listed as a gunsmith? I could not find the name in any of my reference books.
Shelby Gallien