The original home of the Elves in J.R.R. Tolkien’s mythology was Cuiviénen.
Cuiviénen was a body of water in the eastern region of Middle-earth where the first Elves awoke. Their awakening occurred during the Years of the Trees, before the First Age of the Sun. The location was associated with the waters under the stars and with the earliest development of Elvish communities and languages.
The Valar eventually invited the Elves to travel west to Valinor. The resulting Great Journey divided the Elves into groups, because not all followed the summons or completed the journey. This division becomes one of the major historical foundations of Tolkien’s Elvish peoples and their relationships.
Cuiviénen is not the same as Valinor, the blessed realm to which many Elves traveled, or Lothlórien, the later woodland realm in The Lord of the Rings. Doriath was also a First Age kingdom, but it was not the birthplace of the Elves.