Guys,
A note: In all probability the Remington barrels, both wrought iron and steel, were made by the process of drilling a short & heavy barrel blank, then forging or rolling to lengthen and make more slender. The Remington barrels did not have a seam weld, they tended to be straight (not tapered or swamped) and tended to have an off center bore that was normally placed at the breech end. Apparently, Remington never patented this process, keeping it a trade secret. If I find an original with a nicely uniform, straight barrel, I assume that it is one of these barrels. I think that the forged welded barrels tended to be tapered or swamped.
Later on, in 1860 (Patent 27,539) the Remington process was improved allowing the process to result in a nicely tapered round barrel, with a well controlled bore diameter and a concentric bore. Again, without the seam weld.
Jim