Wyo. Stat. § 22-23-901: Election of officers; petition.

(a) In addition to other provisions of law, any newly incorporated town may hold a special election for the election of officers to serve until successors are qualified following the next regularly scheduled election. Such special election shall not be held within ninety (90) days prior to a primary election.

(b) Following completion of incorporation, persons who petitioned the board of county commissioners for incorporation may petition the county clerk, in writing, to hold a special election for the election of officers. Immediately upon receipt of a petition, the county clerk, in consultation with the petitioners, shall set the date for the election and shall conduct the election in accordance with law.