Howdy
OK, here is the scoop on Damascus barrels.
Before the technology existed to bore a straight hole down a solid steel blank for a barrel, there were various techniques used to make a gun barrel.
With a rifle, it was common to take a flat piece of iron, yes iron not steel, and heat it and form it around a mandrel. There would be one welded seam running the length of the barrel.
Then various reamers would be used to straighten the bore and make it uniform. Next, it would be rifled. Finally, the outer shape would be filed by hand, usually in an octagonal configuration.
Damascus shotgun barrels were made quite differently. First, lengths of iron and steel would be welded together in long strips. The strips were usually made up of several alternating layers of iron and steel. Next, the strips would be heated and run through rollers to stretch them out in length, and compress them in cross section. After this was done a couple of times the strips were heated again and twisted like taffy, so the pattern of each strip resembled a barber pole. The pattern of dark and light on the strips would vary with the layup of each strip. Finally, the twisted strips would be wrapped around a mandrel and heated to weld the borders of the strips together into a barrel. After that, reamers straightened the bore and gave it a smooth finish. The outside of the barrel could be filed by hand or turned on a lathe to final shape.
The point is, the way the strips were stretched and twisted, there are literally hundreds of feet of welds in any Damascus barrel. After the barrel had been finished, and before fitting it into a firearm, it would be proofed. Loaded with a proof charge of powder and fired. The barrel would have been fired remotely, in case it gave way. If it survived, it was in proof. If not, at least a completed firearm would not be destroyed.
Here is the thing. That barrel was probably proofed many, many years ago. In the intervening years, corrosion could possibly have crept in and attacked the hundreds of feet of welds. The only way to know if it is still safe to shoot is to load it with a sizeable load of powder and shot, tie it down to an old tire, point it someplace safe, and pull the triggers remotely with a string. If it survives, it is
probably safe to shoot with that load. I say probably because you never know that at some point something might break the camel's back. If it does not survive, at least you were not holding it when the barrel, or barrels let go.
Yes, absolutely, only try this with Black Powder, don't let any Smokeless powder anywhere near it. I would stay away from the substitutes too, particularity 777, which has more punch than regular Black Powder.
Frankly, if it were mine I would hang it on the wall and not risk firing it.
Don't get me wrong, I have lots of antique firearms that I shoot with Black Powder all the time.
But I don't even want to own a Damascus barrelled shotgun. All my antiques have cylinders and barrels machined from solid steel. A few from iron.
P.S. You may be advised to bring it to an auto shop and have them use a machine to vibrate it to look for cracks in the welds. This will not identify corrosion between welds that have not broken through to the surface.
Here is a link the most authoritative article on the subject that I have found.
https://www.doublegunshop.com/gunther1.htm