Hi Dale, thanks for posting these, and for the general backgound information. There are some very small things I would take issue with, but 97% seems fine. You mention something similar posted elsewhere on this NMB site; I am likely the guilty party. My excuse then was that these could have been weapons that Hideyoshi's troops might have encountered during their 1590s invasions of the Korean peninsula. I hoped that would kind of bring them within the remit of this site!
My three-barrel iron gun I always thought to be Chinese but Ian Bottomley of the Royal Armouries said more likely to be Korean. My single-barrel bronze gun is dated 1583 and also seems to be Korean. Naturally their general design would immediately trace their roots back to Chinese weapons of earlier times.
At the time I acquired the three-barrel pole gun, I was assured in a letter from Sawada Taira (author of Nihon no Furu Ju, Old Guns of Japan) that weapons like these are made in quantity in China today, and dropped into cesspits in order to rust and corrode and gain legitimacy. (One of the barrels on mine was blocked with cement (?), what later turned out to be a mixture of sand, grit and gunpowder. I kept it for the records.) Anyway, with his words of warning still ringing around in my head, I now subsequently approach all of these extra suspiciously! For this reason, my personal philosophy says it will be generally wise to stay positive but to mentally reserve final judgement.
Mr Sawada in his letter also finally added that if mine is a genuine gun, (the one he showed me photos of may have been one of such fakes) then I should not write any research paper or publicize it, as the government of China would surely execute any dealer found to have been exporting cultural artifacts.
As to value or price, this is a real conundrum. It will surely vary widely by country, market and/or customer, depending on which expert offers what opinion.