If you are familiar with Maud Montgomery's
Anne of Green Gables,
you will recognize that line.
After discovering that the Cuthbert's didn't want a girl, but rather a boy, Anne Shirley was asked her name. She replied, "Will you please call me Cordelia?"
After which, was a discussion about whether or not that was her name.
Finally, she reluctantly agreed that they could call her by her real name, Anne, but only if they spelled it with an 'e'.
Cordelia was a "perfectly elegant" name and Anne, was a mere orphan whom nobody wanted. Cordelia was wonderful in Anne's imagination, while Anne, herself, was just plain unromantic 'Anne Shirley'.
Anyone who has read the books, or seen the movies, knows that there is nothing plain at all about Anne Shirley.
Still, it was how she felt about herself at the time.
However, Cordelia, I have read, comes from the Latin and it means 'heart'.
Of which Anne's character has an abundance.