Good idea Nova.
Afia, It could be worth trying to locate siblings of your mother, or people who may be related to your family (cousins etc).
Australian records are difficult to research as we have strict privacy rules and restrictions about availability of the more recent births, deaths and marriages. So unless someone has an online presence or their death has been transcribed into a database such as the Ryerson index as posted by Nova, then people can be difficult to track down. Maybe this is one of the reasons you are having difficulty finding your Mum.
You say you have a picture of your Mum. Where did you get this from? Would whoever gave that to you be able to give more information?
Do you know your father? Does he know anything about your mother's movements?
Have you considered contacting the Salvation Army to help you in your search? This is one of the things they do.
Added: B*** may be Lorna's married name, but it is a recent death.
In the electoral rolls I noticed one family which appear to live in a similar area to Afia's mum and family. It could be worth checking the above index for these names too. Added: I just checked the surname alone and there are just the two deaths recorded as noted by Nova.