Peace be upon him is reserved for prophets only specifically for Hazrat Muhammad (Peace be upon Him). Best practice is, it should not be used for anyone else, including any women.
In Islam different figures have different titles. These actually come from Arabic. Peace be Upon him is just one version of translation. The correct titles are
Prophet Muhammad -صلى الله عليه وآله وسلم Sallalaho Alaihi wa AalihiWasallam
Jesus, Moses, Ibrahim and all others - عليه السلام Alai Salam
Early Followers of the prophet who personally saw him - رضی الله تعالیٰ عنہ Raziulll tala unho
This is not distinction between men, women, children including children of the prophet in the above title, all are treated the same.
Great Muslim scholars who came later, did not see the prophet - Rehmatullah Alai
So in short Peace be upon his/her is never used with a woman.
In english we do see the name PBUH is used with Jesus Christ and seldom with Bibi Maryam. This is actually wrong. I think Muslim scholars use this just to attract sympathy from Christian brothers + show respect to them as well. They should not have this title, only prophet Muhammad has this title.
So no woman can have this title. In the woman who has the highest rank is suppose to be, Bibi Fatima (RA). She is the daughter of prophet Muhammad. We do not use PBUH with her. She has the regular title as any other follower has.
Correction for Muslims: It is wrong to use PBUH with Bibi Maryam because she was not a prophet.
Also we do not use any title with the mother of the prophet herself. But she is treated with respect, nevertheless. Her name is Aminah Bibi.