Read EDM's latest book. He has done exhaustive research on this topic. In short:

1864 Ethan Allen produces twist barrels.

1868 John Blaze, an English blacksmith who was brought here for the task, made for Wesson 400 sets of damascus barrels. Only 219 are accounted for. The remainder were most likely sold to Parker.

Those barrels are in remarkably good shape. One of the few sets of damascus breech loading barrels that can be documented as having been made in America.

Hopefully some others who own a Wesson gun or two will jump in.

Pete