Hi there,
Trove digitised newspapers would be a good place to check for electoral campaigns from any of the candidates standing for any municipal council in NSW in the second half of the 19th Century. I am fairly sure that 'political parties' in the 20th century were not active in municipal elections of that earlier era. The Trade Union movement is generally credited with the development of a political wing that became the Labour party in the 1890s.
http://trove.nla.gov.au/newspaper/article/111030039 28 July 1883 Evening News
Borough council meetings
That cutting shows several councils meetings, reported as though the reporter has the Minutes for each of those councils. You will notice, for example, that Macdonaldtown's council meeting had obviously voted on each letter, and on ONE of those letters, the council had obviously resolved 'not to receive' that letter (a Mr Balwin, wanting £1 for repair to a pipe)....
I doubt that the Aldermen were elected to represent a particular political party, rather I suggest the Aldermen were elected to volunteer to serve on a committee (council) to determine what the council's employees priorities in the borough/municipality.
From City of Sydney's freely available Sands Directories ...
http://www.cityofsydney.nsw.gov.au/learn/search-our-collections/sands-directory which leads to
http://cdn.cityofsydney.nsw.gov.au/learn/history/archives/sands/1880-1889/1884-part3.pdf pg 222
1884
Macdonald Town
Bounded on the north by railway line, on the east by drain from railway to Mitchell's road, on the south by Alexandra road and Cook's River road and on the west by Union street.
Number of houses 885
Number of ratepayers 922
Mayor : Joseph HORSFALL
Aldermen: W D Moore IRWIN, George Henry WRIGHT, John Frederick FALLICK, George IVES, Charles W BLOOMFIELD
Treasurer: George Henry WRIGHT
Council Clerk: W Osborne HARMAN
Inspector of Nuisances: W WHITEWAY
Foreman of Works: J PICKERELL
Auditors: A W E BASSAN, Henry Fraser
Council Chambers - Erskineville Road
Office hours: Mondays and Wednesdays from 7 to 9 pm.
JM