I don't think that mount was made by TC Falcon. I have no idea who made it as I've never seen one like that before.
The TC mount for the round barrel New Englander was similar to their mount for the octagon barrel Hawken and Renegade. It's about eight inches long with no extension or iron sight feature. It attachés to the barrel using the two rear sight holes and a hole in the breech plug, and has a slight offset to the left to shift the scope away from the hammer. I don't recall the part number, but it was a four digit number beginning with ninety-nine (99xx).