If you are able to go to a library with local history holdings or check your
local library for books named "Log of Logs", there are 3 volumes in the set,
they list the voyages for ships to the colony.
I would check for the Covenanter's 1852 voyage and see what information has
been recorded (filmed). Often there are Surgeon's Journals listed under a
particular ship's voyage, these films can be ordered on inter-library loan
for a couple of $s.
Have you checked the National Library of Australia's beta newspaper site to
see if any news was recorded in The Argus?
Merry Christmas and a Happy New Year,