The complete Ancient Greek name consisted of a given name, a patronym, and sometimes a name indicating ethnicity.
Given names were often dithematic, that is having two elements, which were usually based on Ancient Greek vocabulary words. For example, the name Δημοστρατη (Demostrate) was formed of the elements δημου (demou) = "of the people" and στρατος (stratos) = "army".
Ancient Greek names are commonly used in modern Greece. A large number are also used throughout Europe, transmitted by the New Testament and as saintly names. Examples of English-language forms include:
List of Ancient Greek names and meanings
List of Classical Greek-origin names and meanings
https://www.lgpn.ox.ac.uk/ Lexicon of Greek Personal Names