Green’s Dictionary of Slang

1. a park.

1927		Eve. Herald (Dublin) 24 Nov. 6/4: The East End tongue is rich in quaint idioms and rhymed slang. [...] To go ‘for a ball of chalk in the Joan of Arc’ simply means to go for a walk in the park.
1992		R. Puxley Cockney Rabbit.

2. a lark, a situation; thus sod this for a Joan of Arc.

1992

R. Puxley Cockney Rabbit.

3. (Aus.) a shark.

1945

Baker Aus. Lang.