The only significance of the number on the barrel is that it couldn't be original to the pistol because it wasn't made until Remington-Rand had ceased production. They were made to facilitate refurbishing of previously used military 1911 and 1911A1 pistols. It is quite possible that such barrels will be found in Remington-Rand pistols that were refurbished during or after WW2, Korean and Viet Nam war periods; but it is highly unlikely that the pistol would have then left the arsenal without government property markings and a serial number. It is far more likely that someone bought the slide, barrel, and other parts as military surplus - and then built a pistol on either an after-market frame that was unmarked, or a genuine frame that had the markings removed.
The only non-destructive ways that I know of to determine if the frame was ever numbered is to either measure the frame's width in the area where the markings would be (if they ever existed) to see if the dimension is less then that specified in my earlier post, which would strongly suggest that something had been filed off, or perhaps X-Ray the area which might - or might not show something.
Also keep in mind that most later Remington-Rand and all government refurbished pistols were Parkerized, not blued.
The only non-destructive ways that I know of to determine if the frame was ever numbered is to either measure the frame's width in the area where the markings would be (if they ever existed) to see if the dimension is less then that specified in my earlier post, which would strongly suggest that something had been filed off, or perhaps X-Ray the area which might - or might not show something.
Also keep in mind that most later Remington-Rand and all government refurbished pistols were Parkerized, not blued.