Looking for Descendents of Bertha Susan Anderson of Newcastle Australia

Bertha Susan Anderson (nee Clack) died in Newcastle on 28 February, 1988.
She was the widow of Jesse James Anderson, a New Zealand-born electrician who died in Newcastle in 1945.
It is believed Bertha and Jesse had two children: Richard (born c. 1929) and Lynette (born c. 1939)
I am interested in confirming these details and in finding more information about their descendents for the purpose of compiling the Anderson family tree which, so far, has reached back to Ireland in the 17th century.