Godivaf.Old Englishgod 'god, deity' + Old Englishgifu 'gift'.
The legend of the ride of Godiva, wife of Leofric earl of Mercia in the 11th C, first recorded in the 13th C, helped the name retain popularity after the Norman Conquest.
Cite as: S.L. Uckelman. "Godiva". In S.L. Uckelman, ed. The Dictionary of Medieval Names from European Sources, Edition 2016, no. 3. http://dmnes.org/2016/3/name/Godiva.