History question - "Little Australia"

Dear Neighbours
Our neighbourhood is often called "Little Australia".  Do you know of any resources that would help me in preparing a short background on this name?  In my research to-date I came accross two conflicting "stories";
One story talks about Australian troops being stationed between Blanca and what is now a Pacific Spirit Park during the WWII and this leading to the name "Little Australia".  

Another common opinion was of a builder in the 1960's that developed this area and named three streets, "Adelaide", "Queensland" and "Tasmania" leading to the name "Little Australia".
If you had any references that I could follow-up on and create a "definitive story of the name - Little Australia" I would be very grateful.
Thank You