Which LGA has the longest standing boundary?

Changes to local government boundaries (LGAs) are a thorn in the side to any researcher interested in time series analysis.  Depending on the scale of the change, adjustments need to be made to the data in order to make it comparable.  On a recent day trip to the historic town of Queenscliff, I was reminded that the Borough of Queenscliffe (the spelling is different) was the only LGA in Victoria to emerge from the reforms of the 1990s unscathed.  It made me wonder - is this the longest standing stable LGA boundary in Australia, or is there another contender?  I go on a quest to find out.