That situation is called Matrilineality.
A matriline is a line of descent from a female ancestor to a descendant in which the individuals in all the generations are mothers – in other words, a "mother line".
Within matrilineality there are some systems to be considered:
- matrilineal primogeniture the eldest female child of the decesased person is entitled to the hereditary succession before her younger sisters, and her brothers are not entitled at all.
- matrilineal ultimogeniture where the youngest daughter is the heir.
- matrilineal seniority the eldest sister is succeeded by her next eldest sister