Influenced by the Greco-Roman culture in which women were considered to e the property of men, western society erased a woman's family name upon marriage and replaced it by that of her husband. In the Islamic naming system she retains her father's name as it indicates her true lineage.
However, both of these degenerative Western trends have been widely adopted in Muslim lands along with other un-Islamic cultural trappings of European colonialism. New Muslims, unaware of the Islamic naming system, often adopt Arabic names in the chaotic European style.