I found it.
It turned out that my alarm is manufactured by Autowatch. It is model 446RLi. As apparently is the case generally, the alarm was mounted high above the accelerator pedal. What made iot difficult to see in my case was first that I didn't know what I was looking for but second, the controller was smaller than expected and was hidden above and behind a Nokia Bluetooth system that was also installed.
Once I had the make and model number it was an easy matter to track down a manual on the web.
Why I was looking for the alarm module was that I had only one controller fob and needed additional ones. I needed to know not only the make of the alarm but also the model number and since I was going to need to train a couple of additional fobs, I needed the alarm code off the controller. All this was easy once I found the controller.
The fobs I needed were series 225-000 and I obtained them from Cyclops Security Systems in Perth Western Australia. They trade online as Dynamco Onlne Store (http://store.dynamco.com.au. The fobs cost me $68.18 each (half the price quoted by the locksmith - but he has to make a living too.) plus $9.90 shipping. Training the fobs was also easy using a set of instructions obtained on the manufacturer's web site. These differed slightly from those supplied by Dynamco when they supplied the fobs. Those supplied with the fobs were confusing and inaccurate.
Anyway, all is now well and the task completed satisfactorily.