A city council is a town council 
And what is a town council?
They are like local government
And are they elected or designated by someone?
However it is generally only those local government areas which have been specifically granted city status
And how are city status granted?
Usually on the basis of population that entitles to refer to themselves as cities
And what have to be the population to be granted the city status?
The official title is corporation of the city or similiar