Thanks for the census details.

I see that Anc***ry gives a suggested record to
New South Wales, Australia, Police Gazettes, 1854-1930 for a Thomas Lee 24 Oct 1861 for left.
A newspaper article has these details -
Bathurst Free Press and Mining Journal
HORSE STEALING.
Thomas Lee was indicted for stealing, on the 23rd October 1861, one horse, the property of
William Pearce.
Plea — Guilty.
Sentence — Five years hard labour on the public works of the Colony.
Unfortunately the above article make no reference to it being the Thomas Lee you are researching.
JJ