Wyo. Stat. § 35-1-308
Any county and/or city or district health department may be dissolved and discontinued by resolution of the board of county commissioners and/or city governing body of a county and/or city maintaining a county and/or city health department, or by resolutions of the boards of county commissioners and/or city governing board of the counties and/or cities maintaining a district health department; provided, however, that no department shall be dissolved within the two (2) year period following the date of its establishment. Within ninety (90) days after the passage of a resolution or resolutions dissolving a department, the county and/or city or district board of health shall proceed to terminate the affairs of the department. After payment of all obligations, any moneys remaining in a county and/or city health department fund shall be credited to the general fund of the county and/or city, and any moneys remaining in a district health department fund shall be apportioned among the counties comprising the district in the same manner as the cost of maintaining the department was apportioned among the counties, and credited to their respective general funds. All other property of the county and/or city or district health department shall be disposed of as may be agreed upon by the county and/or city or district board of health.
W.S. 35-1-308