Green’s Dictionary of Slang

dumpty n.

also dumpty-doo
[? dunny n.2 (1), but note dump v. (9)]

(Aus./N.Z.) an outside privy.

N. Lindsay Cousin from Fiji 14: I will say Grandma’s pretty good sport, locking herself in dumpties and blurting out all that hot stuff at dinner.
[Aus]R.H. Conquest Horses in Kitchen 85: Find yourself a shady spot behind the dumpty-doo [...] and do some hard thinking.
[Aus]P. White Solid Mandala (1976) 296: A few steps across the yard to the dumpty.
[UK]N. Beagley Up and Down Under 98: The ‘Dumpty’ is usually down the garden path in the backyard.