I wonder if this is another fragment of the same song? The meter fits, and it contains the phrase "The Man Who Brews the Beer" capitalized like a title.

Found in You Might as Well Laugh, Mate: Australian Humour in Hard Times by Keith Willey (South Melbourne: Macmillan Co. of Australia, 1984), page 98:

Beer bubbles in the glassy pump and chuckles as it flows,
And happy is the man who feels its foam kiss on his nose;
A liquid blessing in the throat, it gives us joy and verve,
And makes us dream of wondrous drinks that angel barmaids serve.

When everlasting summer comes and Earth's last beer is poured,
The Man Who Brews the Beer will seat his faithful on the sward,
And closing time will never come, or coppers full of wrath,
To spill the Beer of Paradise—the last brew of Saint Froth.

[That's all I can manage to see with Google Books. I don't know whether the book contains more.]