Wis. Stat. § 765.05: Marriage license; by whom issued.

No person may be joined in marriage within this state until a marriage license has been obtained for that purpose from the county clerk of any county in this state. If one of the persons is a nonresident of this state, the nonresident’s part of the application may be completed and sworn to or affirmed before the person authorized to accept marriage license applications in the county and state in which the nonresident resides.