Wyo. Stat. § 7-11-506
Any person sentenced to imprisonment in a state penal institution, who appeals to the supreme court, may file, in the court in which that person was convicted, a petition requesting that the person be furnished with a stenographic transcript of the proceedings at that person's trial. The petition shall be verified by the petitioner and shall state facts showing that at the time of conviction and at the time of filing the petition that person was without financial means to pay for the transcript. If the judge who imposed sentence, or any other judge of the court, finds that the defendant is without financial means with which to obtain the transcript of the proceedings at trial, the judge shall order the reporter to transcribe an original and copy of the reporter's notes. The original of the transcript shall be filed with the clerk and the copy shall be delivered to the defendant without charge. The reporter's fees for preparation of the transcript shall be the same as those prescribed in W.S. 5-3-410, and shall be paid by the county in which the conviction is had.
W.S. 7-11-506