In Hebrew, name Libby means – Diminutive of Elisabeth or Elizabeth, from Elisheba, meaning either oath of God, or God is satisfaction. Also a diminutive of Bethia (daughter or worshipper of God), and of Bethany, a New Testament village near Jerusalem.. Other origins for name Libby include – Hebrew, Israeli, English, English. Name Libby is most often used as a girl name or female name.