Zach: I hope someone more knowledgeable has responded by e-mail, but I think you did a remarkable job without knowing the original formula; which probably included animal parts (hoofs, leather, fat)
From L.C. Smith "The Legend Lives" by John Houchins p. 429 "The Hunter Arms Co. used a higher proportion of bone charcoal to wood charcoal (1 part bone and 3 1/2 parts wood charcoal) than most other manufacturers. The predominant colors seen on L.C. Smith shotguns are dark blue interspersed with lighter blues and emerald greens, and browns with a red hue..."