Wyo. Stat. § 37-7-115
In case the lands are situated in more than one county the notice published in the county wherein the court having jurisdiction is situated shall contain a description of all the lands in said proposed district [with] the damages awarded to the several parcels thereof, but the notice published in any other county or counties may contain a description of only the lands situate in said county for which said publication is made, together with the damages awarded to and assessments for benefits against the several tracts, parcels, easements and interests situate in said county for which publication is made. In case of service of said notice personally, or the acceptance and waiver thereof of all the owners of the lands within the district, said service shall be sufficient and give the court jurisdiction without said publication.
W.S. 37-7-115