family name

noun3

1. •
   A family’s honor or reputation.

   • I’m talking about that actor you’ve been running around with all over town. You’re going to ruin the family name! — 2007
2. •
   Synonym of surname: a name designating a person as a member of a family.

   • In the Chinese name Mao Zedong, Mao is the family name and Zedong is the given name.
3. •
   A given name common within a family or given because of another family member.

   • Yeah, we named her Mildred. It's an old family name. Don't worry, though. She also has four middle names to choose from.