lostlawlers on Family Tree Circles

My father Brian b:1927, only son of Leslie Lawler d:1933.
This branch of the Lawler family was sadly torn apart by
death of Leslie unexpectedly at the age of 37 years.
Most of the family are deceased and whom are left of that
generation will not speak about the era.
I am the eldest daugther of Brian Lawler. Dad would not
talk about his family at all, whether it be pain or hatred
I will never know. I have just received some information
lately, Leslie Lawler's father was Edward Garrett Lawler
and Leslie's mother was Alice Henriette (nee Astill of Orange).
Edward Garrett Lawler was born about 1867 Lucknow NSW, he was named
after his father Edward Lawler a miner in Lucknow NSW.
Edward the Miner was partnered with Anne (nee Madden).
I am looking for any information about the Lawlers, I find it
hard to believe that there were no brothers or sisters
of the Edward the Miner or Edward Garrett Lawler who went on to be
a horse trainer.
Any help is always greatfully accepted.
Thank you for your time.
Shelleen.