The THOMPSON and WHITE marriage certificate, of 1872, should help.
I found the following story which mentions a Thomas WHITE. He is a storekeeper and a miner from Mookerawa, NSW, which is not that far from Sofala.
Bathurst Free Press and Mining Journal, Saturday 11 June 1859, Page 3.
Also strayed, or stolen, a bay horse from the Mookerawa Diggings, owned by Thomas WHITE, in the below paper.
Bathurst Free Press and Mining Journal, Saturday 11 June 1859, Page 1S.
Thomas WHITE, was also mentioned in the following paper:
The Sydney Morning Herald, Thursday 25 August 1864.