Green’s Dictionary of Slang

(Aus.) a broken nose and black eyes.

1853		Geelong Advertiser 28 Mar. 1/1: In your police report of the other day, there is the case of an individual designed ‘Batten - an ill-looking fellow, with the Botany Bay coat of arms on his face,’ who was fined £10 for using obscene language .
1859		Argus (Melbourne) 28 Dec. 5/5: The Botany Bay coat of arms - a bloody nose and a black eye - was very generally conspicuous, but these rows were very much akin to those Hibernian scenes we have heard of as occurring at the famed Donnybrook Fair.
1945		(ref. to mid-19C) Baker Aus. Lang. 44: Black eyes were known as a Botany Bay coat of arms or colonial livery.