My understanding is the gun, finished in 1910 came with one set of bbls- the chain pattern damascus which was available at that time.
Later, post 1913, when Hunter Arms offered Crown Steel, the owner sent the gun back for a second set of Crown Steel bbls.
The 2nd set were made/fitted, not by an after market gunsmith, but by L. C. Smith and are so marked and numbered.

I provided serial number, gauge, grade, barrel length/s, and ship date to lcsmith.org.
They confirmed that information only back to me, on their letterhead, as well as the inspector's initial, which is nice to have.