I always thought that Artemis was the Goddess of the Moon (and Hunting, stags, etc.)... until I thought about how there's Helios/Apollo which caused me to learn about Selene. But further research revealed yet another Moon goddess - Hecate, who is associated with the moon, and is Selene's grandmother. Still further research revealed Phoebe, whose Wikipedia article is pretty sparse and is the grandmother of Selene.
Did the goddess who had domain of the moon change over time? Did they all sort of do it together?