Mahsati
Yes. Mahsati is attested in medieval Persian literary anthologies and biographical compilations as a poetess associated with Ganja and the Persianate literary milieu.
Etymologically it is linked to Persian 'mah' (moon) and functions as a literary pen-name; exact morphological origins are debated, but the name carries poetic and aesthetic connotations rather than a single fixed lexical meaning.
No. Mahsati is a literary-historical name known from Persian poetry and does not appear in the Quran or canonical hadith collections.
Very rarely. The name is primarily of historical-literary interest and may be chosen by families wishing to invoke classical Persian poetic heritage.
Related literary or Sufi-adjacent names include epithets and takhallus forms like Mahbub (masculine) or the female poetic sobriquet Mahru; Mahsati is distinctively feminine and tied to the medieval poetic canon.