this info from the site:
Abilene Christian University
(also see 'Female Poets & Composers' on Links Page)

Enheduanna: Hymns to Inanna
religous frieze
Enheduanna, with priest (left) and two priestesses following behind.
Limestone disc excavated at Ur

The songs of Enheduanna (later 2300s or early 2200s B.C.) comprise the oldest literature by an identified author written in cuneiform.
She was first appointed high-priestess during the reign of her father the Sumerian king, Sargon, who united Sumer and Akkad (southern and northern Mesopotamia) located in what is now Iraq.
Her portrait on a limestone disc was discovered during an excavation of Ur.

Among her 45 extant songs she wrote three long hymns to the Goddess Inanna.
Although Akkadian born, Enheduanna wrote in Sumerian as she was placed in the Sumerian city of Ur by Sargon.
Inanna, known as the Venus star, was the Sumerian goddess of love and war and is identified with the Akkadian goddess Ishtar.
As En-priestess, Enheduanna served the moon god Nanna, father of Inanna.

According to a letter from Dr. Kilmer, "Enheduanna's religious poetry was certainly sung, and probably accompanied by a stringed instrument.
Enheduanna seems to have composed the music and written the words

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