Godiva \g(o)-di-va\ as a girl's name is of Old English origin, and the meaning of Godiva is "God's gift". According to the famous story, the 11th century Lady Godiva rode through the town of Coventry naked, covered only by her long hair. Her motive was a pact with her husband, the Earl of Mexica, who relieved the townsfolk of certain taxes after the ride. Better known today as a brand of premium chocolates.
A baby name that sounds like Godiva is Ketifa. Other similar baby names are Adiva and Ediva.