Green’s Dictionary of Slang

1. nonsense, humbug.

1901		Sydney Sportsman (Surry Hills, NSW) : Because Handicaper Quinton choose to put Roarty's St. Gatien in on the limit as a sort of burley that Handicaper Daly does not bite at, Roarty raises ructions.
1941		Baker Popular Dict. Aus. Sl. 15: Burley, humbug, nonsense.

2. vomit; thus in fig. use berley up v., to ‘vomit up’, to produce.

1996		(con. 1950s) P. Doyle Get Rich Quick (2004) 10: The blood [i.e. in the water] had berleyed up a school of little tiddlers, and seagulls were circling.
2002		S. Maloney Something Fishy (2006) 37: A stream of burley erupted from Dudley Wilson’s mouth.