It is a name of Greek origin woman. It is the female variant of the name of male Eudoro, who was one of the leaders of the army of Achilles in the Trojan war. The name means kindly, generous. Eudora is also the name of 2 cities in the United States, one in the State of kansas and another in the State of Arkansas and the three counties (Kansas, Mississippi and Missouri). It is also the name of a star in the constellation of Taurus.