Demetria \d(e)-met-ria, dem(e)-tria\ as a girl's name is pronounced da-MEE-tree-ah. It is of Greek origin. Feminine form of Demetrius. Greek mythology: Demeter was the goddess of corn and harvest, and mother of Persephone. Her Roman name is Demetrius, from the root word for "cereal". See also Demi and Deitra.