Metchosin, recurring lesions of syphilis called "gummas" can attack different places in the body, including mucous membranes. I've seen photos of people with late syphilis who were lacking noses. Maybe that's what a "boozen" is? I wish I had a Scots-English dictionary. Could be something like:
Put the hole in his booz, and...?
Or could it be:
"Put the hole in his noos (nose) and...?"

I have to run off to work now, but I can try asking on the Scots (EMail) List when I get back later today, if you'd like.