All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
The place reserved for prayer in the home does not take the ruling of the mosque. So, your wife can sit in that place during her menstruation period and the Junub (the person in a state of sexual defilement) can also stay in that place and no Tahiyatul-Masjid (prayer of salutation to the mosque) is required for such a place…etc., because such rulings are peculiar to the mosque itself.
Allah knows best.