Dear TEd: I have no facts with which to strengthen my suggestion. But a plow makes a passage through the soil, the nose is passageway, though the vomer dividing it in two doesn't seem to fit. Apropos of nothing in particular, I still remember how disagreeable it was as a child to have vomit come through my nose.
As for the vomitorium I can find no kind words for a cult of such excessive imbibition. I joked about regurgitation of sweet-sour port not being too bad, but I can only be mildly revolted by thought of intentionally provoking emesis of thin red vinegar and gastric juice.Yuk! And double Yuk!