Girl name origins & meanings Greek : EarthFrench : Merry Girl name variations Gaea Gaiah Gaiea Gaya Gayah Gay Gaye Gae Gai Family name origins & meanings Italian : from the personal name Gaia, feminine form of Gaio (from Latin Caius, Gaius).Portuguese : habitational name from Gaia in northern Portugal. Famous people who gave their babies this name Emma Thompson