The name Delia is a girl's name of Greek origin meaning "born on the island of Delos". Delia and is often added to lists like Mythological Baby Names for Girls and discussed in our forums with posts like "Girls Makeover - Two Middles".
From the experts:
Delia is a somewhat neglected seductive southern charmer that stands on its own but also might be short for Adelia or Cordelia.
Delia's name is based on that of the Greek island of Delos, which in Greek myth was the home of Apollo and Artemis and was an epithet of the moon goddess Artemis, and later taken up by the seventeenth century pastoral poets.
In Britain it has been associated with the cookbook writer and broadcaster Delia Smith; in the U.S. with novelist/screenwriter Delia Ephron, who often collaborated with her sister Nora. There have been characters named Delia on Everwood and Ghost Whisperer.