Valued Bloodline

It seems that bloodline is valued greatly during the time of The Odyssey. Whenever a character is addressed, more often than not, a title follow it in which their relationship to another character is explained. For example:

"Nausicaa, daughter of King Alcinous,
may Zeus the Thunderer, Hera's husband..."

From that, I observed that during Ancient Greece, family was important. They seemed to use the connections in place of last names. However, unlike last names, the connections would be different for everyone. For example, Nausicaa is the daughter of King Alcinous. Her daughter (if she were to bear one) would have the title: Daughter of Princess Nausicaa. It seemed rather long and difficult to remember who is the parent of everyone.