Phoenix was a son of Agenor and Telephassa (or Argiope), brother of Cadmus, Cilix and Europa. He was believed to have fathered a number of children with different women. By Cassiopeia, he had a daughter Carme and three sons, Cilix, Phineus, and Doryclus, as well as a stepson Atymnius whose natural father was Zeus; by Alphesiboea, he had Adonis. According to the Iliad, Europa was not his sister, but his daughter. Europa is otherwise called one of his two daughters by Perimede, daughter of Oeneus, the other one being Astypalaea; she is also included on the list of his children by Telephe, her siblings in this case being Peirus, Phoenice, and Astypale (apparently identical to the aforementioned Astypalaea). Telephe, daughter of Epimedusa, is probably the same as Telephassa, whom Moschus calls wife and not mother of Phoenix.
COMPARATIVE TABLE OF PHOENIX'S FAMILY ACCORDING TO VARIOUS SOURCES
When Europa was carried off by Zeus, her three brothers were sent out by Agenor to find her, but the search was unsuccessful. Phoenix eventually settled in a country in Asia which he named Phoenicia after himself.