I just googled Lammas Fairbrother as I have been working on my family tree and he married a relative of mine - Eleanor Annie Wilkins, in South Australia. There are heaps of Fairbrothers that I have found in Australia!!
I would almost guarantee that my Lammas originates from England, as Eleanor's parents came from Middlesex. My Lammas was born in 1865. His father was William Fairbrother.
For your interest - Eleanor was a first cousin to Sir Hubert Wilkins, one of Australia's most famous explorers.