It is likely that this is an old Greek name, as Anaxagoras, Pythagoras, or others with the same termination. Its meaning is unknown. They could also be the places they were previously the agoras in the ancient Greece. Agora was a square surrounded by public buildings, political, religious and economic life of a city center.
exagoras is incorrectly written, and should be written as "Isagoras" being its meaning:
Greek name. Thus a Greek from the end of the 6th century Archon was called a. d. C. in dispute with Cleisthenes which finally took power allowing Isagoras to flee after having it confined in the Acropolis for two days. The name probably comes from the Greek term isegorias Fisher: equality for all public speaking freely ( isos agoreuo )
