Name Act Article 12

Suppose a person changes his/her surname, given name, or full name. In that case, by its authority, the household registration office shall update the household registration records of the person’s spouse and child(ren), if any, concerning the registration of his/her new name and notify them of the update.
中文原文 姓名條例第12條
本人申請改姓、名或姓名時,戶政機關應同時依職權於其配偶、子女戶籍資料為配偶、父或母姓名更改,並應於變更登記後通知其配偶及子女。

English translation for reference only; the Chinese text prevails. Not legal advice.