There is no single, definitive "first map" of the Milky Way. The earliest attempts to chart our galaxy were rudimentary and based on observations of the stars with the naked eye.

However, early maps of the Milky Way, based on naked-eye observations, generally placed the sun at the center of the galaxy. This was based on the observation that the Milky Way appeared as a band of light encircling the sky, with the sun seemingly sitting in the middle of this band.

It wasn't until the early 20th century, with the development of more powerful telescopes and techniques like spectroscopy, that astronomers started to understand the true structure of the Milky Way and realized that the Sun was actually located on the outskirts of the galaxy, not at its center.