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That's interesting, because "BRAND" as stamped on my vintage piece is finer than the Kanayama examples as shown in the link; and instead of "REG. TRD. MARK" beneath the llama representation, "SOUTH...

Yep. I've got one. A good ol' American barber's strop, stamped "H.M.C. Cutlery, New Bedford, Mass." The OP's seems to be in better shape than mine as received, which required a bit of resurfacing....