Greek Meaning: The name Elizabeth is a Greek baby name. In Greek the meaning of the name Elizabeth is: From the Hebrew Elisheba, meaning either oath of God, or God is satisfaction.Famous bearer: Old Testament Elizabeth was mother of John the Baptist and one of the earliest known bearers of this name; Queen Elizabeth II.ne of the most frequently used names in England. Hebrew Meaning: The name Elizabeth is a Hebrew baby name. In Hebrew the meaning of the name Elizabeth is: My God is bountiful;God of plenty.