The board of revenue, court of county commissioners, or like governing body of Colbert County is hereby authorized to call an election of the qualified electors of the county for the purpose of determining whether or not the county governing body may levy an additional county privilege or excise tax on tobacco and certain tobacco products. Due notice of the time of holding the election and of the purpose of the election must be given by the sheriff at least 30 days prior to the date the election is to be held, by publication in some newspaper in the county, and by posting such notice at the courthouse door and at three other public places in the county. The county governing body shall provide for the holding of the election on the date specified in the notice. If the question of levying the special tax authorized herein fails to carry at such election, that fact shall not preclude the submission of the question to the voters of the county at a subsequent election held at any time not less than two years from the date of the preceding election.