Legal analysis: the woman's name can be added in this case, but the premise is that the loan must be paid off and the name can only be added after handling two certificates. Couples with names are different before marriage and after marriage. Adding a name after marriage is a change of registration, and citizens only need to provide proof of identity of both husband and wife. Where there are other provisions in the law, those provisions shall prevail.

Legal basis: Article 27 of the Supreme People's Court's Interpretation on the Application of the Civil Code of People's Republic of China (PRC) to Marriage and Family stipulates that a house rented by one party before marriage and purchased with the same property after marriage, if registered in the name of one party, shall be deemed as the joint property of husband and wife.

"the Supreme People's Court's Interpretation on the Application of Marriage and Family Compilation in the Civil Code of People's Republic of China (PRC)" Article 31 The personal property of one spouse as stipulated in Article 1063 of the Civil Code shall not be converted into the joint property of the husband and wife due to the continuation of the marriage relationship. Unless otherwise agreed by the parties.