Wyo. Stat. Ann. § 14-2-819

Notwithstanding any other law concerning public hearings and records, any hearing or trial held under this act shall be held in closed court without admittance of any person other than those necessary to the action or proceeding. All papers and records other than the final judgment pertaining to the action or proceeding, whether part of the permanent record of the court or of a file in the state office of vital records services or elsewhere, are subject to inspection only by court order.