Mary’s surname is the most we know about her. Triantafilou (Τριανταφύλλου, “of the rose”) — a common Greek surname across the populations of Asia Minor, often given as a metaphorical poetic name rather than a strict patronymic. It appears on her son Lazaros’s 1928 NYC naturalization record, beside her husband Panagiotis.
She was at least the mother of one son: Lazaros, born around 1871 somewhere in western Anatolia, most likely Akhisar. Whether she had other children, when she was born, when she died, where she is buried — all open. She survives in the family record as a name and a flower.