Sage International. The second picture shows the TS870R model which is all-steel and has a buttpad swivel function to make it more compact. The third set of pictures shows the TS870LW model with mostly aluminum parts (steel where it counts) and no swivel pad. It is an old but space efficient design - you will notice the striking similarities to the Mk14 EBR stock, also made by Sage. Some 870s in the USMC back in the day had the TS870R installed. Very few people actually know of it because it's one of the more expensive stocks and Sage doesn't market their stuff as they mostly deal with government and agencies. It is, however, available for purchase directly from Sage. It's a great stock and handles recoil almost as good as a solid stock. Technically, some side saddles can work but you lose the ability to collapse the stock, which would make having one pointless. The only real downsides are that the cheekweld isn't super-comfortable and it makes the 870 even heavier.
Beautiful shotguns, by the way.