Green’s Dictionary of Slang

do me good n.

[rhy. sl.]

1. a Woodbine cigarette.

[UK]J. Jones Rhy. Cockney Sl.
[UK]Partridge DSUE (8th edn) 318/2: late C.19–20.

2. wood; (Aus.) firewood.

[Aus]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.
[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.
[Aus]J. Meredith Learn to Talk the Old Jack Lang 13: 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.
[Aus]Pete’s Aussie Sl. Home Page 🌐 do me good: firewood.

3. food.

[UK]E. Pugh Cockney At Home 52: Another time I went to a restyourant [sic] and ordered a bit of do-me-good.