I had never heard of the Lithgow before. I did google some pictures and several looked just like a FAL, others not so much. Was it made in Australia?
Yes - Lithgow is a town in New South Wales, and the Lithgow Small Arms Factory has been manufacturing weapons for the Australian military since 1912. It’s now owned by Thales.
The L1A1 SLR is a Commonwealth derivative of the FN-FAL and Lithgow manufactured them for the Australian forces - it was our standard military rifle for quite a long while.