Wyo. Stat. § 17-8-106
If any body of Christians has or shall have, according to its order or mode of government, an organization, whether known as synod, presbytery, conference, episcopate or other name, with ecclesiastical or spiritual jurisdiction over its members throughout this state, and its authorities shall desire to engage in work of education, benevolence, charity and missions, which works shall be of like extensive operation and benefit, and not of limited or local service, and they shall deem an incorporation convenient for the more successful operation of said works, all, or any of them, its said authorities, with such persons as they may associate with them, may cause such incorporation to be formed in the manner and with the powers hereinbefore provided for the incorporation of a church, congregation or society.
W.S. 17-8-106