I just looked this up and posted on the other bluing thread but thought I would add here as well for discussion
Per "The Perfect Gun" first published in 1718, edited and translated by Daehnhardt and Neal.....
"Of giving colour to barrels..... black or bluish colo in thr forge....... there shall be made a brazier of charcoal that gives no smoke in the forge, and when it is well burnt, the barrel shall be placed among the embers, where it shall remain until it turn from blue to black, and then it shall be withdrawn so that the color may be everywhere without patches " (That is for charcoal bluing )
(This looks like temper bluing)
"In the same way the blue color is given in embers of the furnace, also without there being any smoke, more care being taken with this color that it does not pass the blueness, because if there be any lack of care and it be retained too long in the heat, the color will change, and to give it the proper color there will be no other solution except to whiten the piece again."