Wyo. Stat. § 1-27-111: Manner of service.

Service shall be made by leaving the original writ with the person to whom it is directed as defendant and preserving a copy on which to make the return of service. If the defendant cannot be found, or if he does not have the plaintiff in custody, service may be made upon any person having the plaintiff in his custody in the same manner and with the same effect as though he had been named defendant therein.