It shall be unlawful for any municipality of this State, having a population of between six thousand three hundred and fifty and six thousand eight hundred inhabitants according to the last official United States census, to require any person to pay a fee of any kind for parking an automobile or other vehicle on the abutting side of any street abutting and adjacent to property owned by the county in which such municipality is situate or located and used in connection with the county courthouse or county office building or on the abutting side of any street abutting or adjacent to any sidewalk which is adjacent to or abutting on such property owned by such county by the use of any device known as a parking meter or otherwise or to place a time limit on parking in such areas except such as may be authorized by the governing body of the county.