There are multiple origins and meanings for the name Leda:
1. Lycian name meaning - "woman"
In Greek mythology, Leda (Λήδα) was daughter of the Aetolian king Thestius, and wife of the king Tyndareus (Τυνδάρεως), of Sparta. Her myth gave rise to the popular motif in Renaissance and later art of Leda and the Swan. She was the mother of Helen (Ἑλένη) of Troy, Clytemnestra (Κλυταιμνήστρα), and Castor and Pollux.
Leda was admired by Zeus, who seduced her in the guise of a swan. As a swan, Zeus fell into her arms for protection from a pursuing eagle. Their consummation, on the same night as Leda lay with her husband Tyndareus, resulted in two eggs from which hatched Helen - later known as the beautiful "Helen of Troy" - Clytemnestra, and Castor and Pollux (also known as the Dioscuri (Διόσκουροι).
2. Diminutive form of the given name Alida
3. Form of the given name Lida
4. See Hebrew name Ledah - "birth, childbirth".