* Ancient Greek Astronomers: Ancient Greeks observed a faint, fuzzy patch of light in the constellation Andromeda. They named it "the chained woman" after the mythological princess Andromeda, who was chained to a rock as a sacrifice.

* Modern Astronomy: When astronomers started classifying celestial objects, they continued to use the ancient Greek name, "Andromeda," for the galaxy.

* Scientific Name: The Andromeda Galaxy is also known scientifically as Messier 31 (M31), a designation from the Messier Catalogue of astronomical objects.

So, the name Andromeda Galaxy is a combination of ancient mythology and modern scientific classification, stemming from its apparent location in the constellation Andromeda.