The version of this I know is I think common in Kent (UK) and is similar but not identical. Starts with Pint, of course, but the whole thing is

Here's good luck to the COmpany, good luck to the Barley Mow
Jolly good luck to the company, good luck to the Barley Mow
Oh the COmpany, Brewer, the Drayer, the Slavey, the Daughter, the Landlady, Landlord, the Barrel, the HALF Barrel, Gallon, the HALF Gallon, Quart Pot, Pint pot, HALF pint, Gill pot, HALF gill, Quarter gill, Nippikin, Pippikin and the Brown Bowl - Here's good luck good luck good luck to the Barley Mow.

Those capitalised HALF syllables are sort of barked, which adds a difficult off-cadence because they don't come round symmetrically.