-- The Goddeness of Music

 Euterpe was one of the nine Muses, the goddeness of music, song and dance. In the Classical era, when the muses were assigned specific literary and artistic sphères, euterpe was named Muse of lyric poetry. Her attribute was the double-flute. Euterpe's name was derived from the Greek words eu- and terpô, meaning "giver of much delight"

-- Who is depicted?

 In Greek mythology, Euterpe was one of the Muses, the daughters of Mnemosyne, fathered by Zeus. Called the "Giver of delight", when later poets assigned roles to each of the Muses, she was the muse of music. In late Classical times she was named muse of lyric poetry and depicted holding a flute. A few say she invented the aulos or double-flute, though most mythographers credit Marsyas with its invention.

Pindar and other sources (the author of the Bibliotheca and Servius), describe the Thracian king Rhesus, who appears in the Iliad, as son of Euterpe and the river-god Strymon; Homer calls him son of Eioneus.

-- More about the artist

 The artist is currently unknown.