W. Va. Code § 19-2F-5: Subsequent referendums.

(a) In the event that a referendum conducted pursuant to the provisions of this article fails to receive a majority of the affirmative votes cast, the Council is authorized to conduct a subsequent referendum under the provisions of section four of this article no earlier than twelve months after the date on which the last referendum was held without complying with the requirements set forth in section three of this article, so long as the amount and duration of the assessment are not increased.

(b) In the event that an assessment is in effect and set to expire, the Council is authorized to conduct a subsequent referendum under the provisions of section four of this article during the last year of the assessment without complying with the requirements set forth in section three of this article, so long as the amount and duration of the subsequent assessment are not increased.