Is it permissible for a woman to change the room in which she prayed Fajr and Subh in congregation, in order to pray the Duha (Chast) supererogatory prayer, or must she remain in the same place?

Neither men nor women are obligated to remain in the prayer area. However, whoever desires the reward of a complete Hajj and Umrah, as mentioned in the Hadith, should sit in their prayer area after performing the Fajr prayer in congregation, remembering Allah until the sun rises, then pray two rak'ahs. They should not leave except for a necessity, then return. Scholars have differed on whether this reward includes women; some said yes, due to the generality of the Hadith, while others restricted it to men.