In Greek mythology, this name is associated with Pheobos (“shining”). It is the name of a titan, who is Apollo and Artemis’s grandmother. It is also the name of an amazon who fought Heracles and the name of a spartan princess.
Hitchcock's Dictionary of Bible Names gives the meaning of the name Phoebe as Shining Bright.The Hebrew for shining bright is as follows בהיר נוצץPhebe or Phoebe is the feminine form of Phoebus, another name for Apollo. Phoebus and his winged chariot were a metaphor for the sun - or Helios.