(1) The qualified voters of incorporated towns shall elect one (1) recorder-treasurer on the Tuesday following the first Monday in November 1982 and every four (4) years thereafter.
(2) The town council may provide by ordinance for the appointment of the town recorder-treasurer.
(3) An ordinance under subdivision (b)(1)(A) of this section shall be passed before the filing period begins for an election for the office of town recorder-treasurer, but no later than the February preceding the beginning of the early filing period.
(4) A town recorder-treasurer appointed under subdivision (b)(1)(A) of this section shall not administer the oath of office under § 14-42-106 or § 21-2-105.