In Google Books you can read and search The Official Post Office Directory Of New South Wales 1867.
Darkwater Creek, now called Belmore River, on the Mid North Coast of NSW, is the area where Cornelius Gormley lived. He is entered as Cormer instead of Connor Gormley.
In the 1872 Post Office Directory a James and a John Gormley, farmers of Darkwater Creek, are listed. They don’t appear in this directory.