(Δαμόχαρις), a grammarian of Cos, the disciple of Agathias, lived at the end of the fifth and the beginning of the sixth centuries after Christ. He is the author of four epigrams in the Greek Anthology. In an epigram by Paulus Silentiarius (81), he is called γραμματικῆς ἱερὴ βάσις. There is another epigram (ἀδεσπ. 359) on a certain Damocharis who repaired the damage which Smyrna had suffered from an earthquake. It is not known whether this is the grammarian, about whose time, however, many earthquakes are known to have happened. (Brunck, Anal. 3.69; Jacobs, Anth. Graec. 4.39; 13.881; Fabric. Bibl. Graec. 4.470.)
[P.S]A Dictionary of Greek and Roman biography and mythology
Smith, William
A Dictionary of Greek and Roman biography and mythology. William Smith, LLD, ed. 1890