You searched for: “cognomination
cognomination
1. In Roman usage: the third name, family name, or surname of a Roman citizen; such as, Marcus Tullius Cicero, Caius Julius Caesar.
2. An additional name or epithet bestowed on individuals, as Africanus, Cunctator (in later Latin called agnomen).
3. A surname or family name.
4. A nickname or name that describes someone, e.g., “Billy the Kid”.