Jennifer is a female name. Jennifer means white wave. The name Jennifer is a Cornish variant of Guinevere, meaning the a white fay or a white ghost, white phantom or white fairy”. The name has been around since the 18th century.ennifer is a female name. Jennifer means white wave. The name Jennifer is a Cornish variant of Guinevere, meaning the a white fay or a white ghost, white phantom or white fairy”. The name has been around since the 18th century.