Wis. Stat. § 69.16: Marriage documents.

(1) The form, content, application for and registration of marriage documents shall be under ch. 765.

(2) If a person has married in this state, at least 365 days have elapsed since the marriage and no marriage document is on file, a person with a direct and tangible interest in having a marriage document registered may petition the circuit court of the county in which the marriage is alleged to have occurred. If the court finds that the petitioner has established the fact of the marriage required on the marriage document, except for the information under s. 69.20 (2), the clerk of the court shall report the court’s determination to the state registrar in the manner prescribed by the state registrar, along with the fee required under s. 69.22. Upon receipt of the report, the state registrar shall register the marriage document and make the record available to the local registrar under s. 69.03 (11).