...The Greek goddess of the Moon is the virgin Artemis, twin sister to
Apollo. Children of Zeus and Leto (one of the six female Titans),
Artemis and Apollo were born on the island of Delos while Leto was
avoiding Zeus' wife Hera. Artemis was said to ride her silver chariot
across the sky, shooting her arrows of silver moonlight to the Earth
below. She was the Lady of Wild Things and the goddess of the hunt.
She loved hunting lions, panther, stag and deer, roaming the mountain
forests and uncultivated land with her nymphs. Her favorite method of
capture was her fleetness of foot and her silver bow and arrows. She
was one of the three maiden goddesses of Olympus immune to the
enchantments of Aphrodite, the other two being Hestia and Athene....
...As Phoebus was the Sun, Selene was also known as Phoebe, the Moon.
In this capacity She represented the evening and the night, and was
depicted carrying a torch and wearing long robes and a veil on the
back of her head. Phoebe and Selene-the sister of Helios-were both
Titans and of the older gods, whereas Artemis was of the next
generation
...The Moon is the goddess with three forms: Selene in the sky,
Artemis on Earth, and Hecate in the lower world-the world above
cloaked in darkness. These forms are reflected in the Moon's phases.
As the new Moon She is the maiden-goddess Artemis, always new and
virginal, reborn and ready for the hunt. As the waxing Moon,
increasing in fullness, She is the fertile mother-goddess, pregnant
with life. And as She wanes to darkness, She is the wise crone or
witch Hecate, knowledgeable in the magical arts, with the power to
heal or transform. Through Artemis, Diana, Cynthia, Selene, Luna,
Phoebe and Hecate, the many faces of woman and of the changing Moon
are displayed.
http://www.myastrologybook.com/Artemis-Diana-Selene-Phoebe-Luna-Hecate.htm