Patronymic. ... A patronymic, or patronym, is a component of a personal name based on the given name of one's father, grandfather (i.e., an avonymic), or an even earlier male ancestor. A component of a name based on the name of one's mother or a female ancestor is a matronymic. Each is a means of conveying lineage.
A matronymic is a personal name based on the given name of one's mother, grandmother, or any female ancestor. It is the female equivalent of a patronymic. Around the world, matronymic surnames are far less common than patronymic surnames.