The name Gina is a Greek baby name. In Greek the meaning of the name Gina is: Well born. American Meaning: The name Gina is an American baby name. In American the meaning of the name Gina is: Well born.English Meaning: The name Gina is an English baby name. In English the meaning of the name Gina is: A, Virgina, Eugina, Regina, and other names ending in-gina. Often used as an independent name.Famous bearer: twentieth century Italian actress Gina Lollobrigida.he name Gina is a Greek baby name. In Greek the meaning of the name Gina is: Well born. American Meaning: The name Gina is an American baby name. In American the meaning of the name Gina is: Well born.