Enheduanna lived in Mesopotamia. It was one of the earliest societies.
Known as the Cradle of Civilization, Mesopotamia was situated between the Euphrates and Tigris rivers. It was known as fertile land and it brought wealth to the people of the region. Agriculture was closely linked to religious life and royalty, so Enheduanna played a role in that aspect of life.
The original landscape of this area included parts of the countries now known as Turkey and Syria, and, in larger measure, Iraq. There are remnants of the ancient world in all of these places.
Ur and Uruk, the two places Enheduanna was most affiliated with, are identified as part of Iraq. The Ziggurat of Ur, which was a place of community gathering and religious life, can still be seen in the area known as Tell el-Muqayyar in Iraq.
This region included ancient Babylon and Sumer. Under Sargon's rule and with Enheduanna's help, this became the blended Empire of Akkad. Many of these ancient places have been repaired or somewhat restored, including the Ziggurat and the original gates of Ishtar in Babylon.
(*Note: There are different spellings for both modern and ancient areas, so forgive any discrepancies).