I’m not referring to council, but staff at city hall who can lend a hand during the by-election.
Typically that would be the Legislative Services department at the municipality. In Victoria, Chris Coates is the City Clerk and is usually tapped to be the Chief Elections Officer.
Election time is always hectic because a number of the Legislative Services staff shift to temporary positions running the election, and there has to be enough staff to backfill their roles to keep all of the other processes running. Legislative Services typically handles all of the public hearing notices, publication of agendas, routing of bylaws for signatures, etc.