Green’s Dictionary of Slang

(Aus.) a billy (used to boil water).

1902		Bulletin (Sydney) 18 Jan. 16/3: Why my-blanky knock-me-silly takes up so much of the ocean floor that there isn’t awful-doom enough for me to get my rosy-red down onto the weeping willow.
1905		Duke Tritton’s Letter n.p.: So I gathered some Do Me Good, got out the Jack Scratches and lit the Barney Maguire, put on the Knock Me Silly and made a brew of Jimmy Lee.
1945		Baker Aus. Lang.
1972		Dodson & Saczek Dict. of Cockney Rhy. Sl.
2002		Pete’s Aussie Sl. Home Page 🌐 knock me silly, knock-me: a billy (used to boil water).