The art work on the door is indeed a variance of the “Bow and Quiver” that was common on trade guns in the eighteenth century. Look closely, the bow is the long mustache lookin piece. With an arrow on the left and a quiver on the right. There s a tomahawk in the center, upside down. I believe these symbols were used to convey to the natives that the firearm was to take the place of these primitive weapons. The engraving patch box doors is usually meant to be viewed “upside down”. The cut out, I believe is not a depiction of anything, its just a design the maker came up using scrolls on the finale….LK