Wyo. Stat. § 9-4-208

(a) Except as provided by W.S. 9-4-204(t)(iii)(D) and 9-4-206(c) and (d), money paid into the state treasury through error or under circumstances such that the state is not legally entitled to retain it, may be refunded upon the submission of a verified claim therefor. The claimant shall present his verified claim, together with a complete statement of facts and reasons for which the refund is claimed, to the head of the state agency concerned, who shall forthwith examine it, attach his approval or disapproval of the claim and his reasons, and submit the claim to the state auditor for settlement in the manner provided by law. At the discretion of the head of the state agency concerned, the verified claim of the claimant may be waived, and the refund made upon certification by the head of the state agency concerned.

(b) There is appropriated to the person or entity entitled to a refund under this section, from the fund or account in the state treasury to which the money was credited, an amount sufficient to make the refund and payment.