late 14c., "one of the nine Muses of classical mythology," daughters of Zeus and Mnemosyne, protectors of the arts; from Old French Muse and directly from Latin Musa, from Greek Mousa, "the Muse," also "music, song," ultimately from PIE root *men- (1) "to think." Meaning "inspiring goddess of a particular poet" (with a lower-case m-) is from late 14c.
The traditional names and specialties of the nine Muses are: Calliope (epic poetry), Clio (history), Erato (love poetry, lyric art), Euterpe (music, especially flute), Melpomene (tragedy), Polymnia (hymns), Terpsichore (dance), Thalia (comedy), Urania (astronomy).
"of or in the manner of Anacreon," the "convivial bard of Greece," celebrated lyrical poet (560-478 B.C.E.), born at Teos in Ionia. Also in reference to his lyric form (1706) of a four-line stanza, rhymed alternately, each line with four beats (three trochees and a long syllable), also "convivial and amatory" (1801); and "an erotic poem celebrating love and wine" (1650s).
The name is literally "Up-lord," from ana "up" (see ana-) + kreon "lord, master," which Beekes calls "an inherited word from Indo-European poetic language," from PIE *kreih- "splendor," and he compares Sanskrit sri- "magnificence, riches, splendor, fame."
U.S. lawyer and writer Francis Scott Key (1779-1843) in 1814 set or wrote his poem "The Star-Spangled Banner" to the melody of the drinking song of the popular London gentleman's club called The Anacreontic Society, dedicated to "wit, harmony, and the god of wine." The tune is late 18c. and may be the work of society member and court musician John Stafford Smith (1750-1836).