Biblical Meaning: The name Jael is a Biblical baby name. In Biblical the meaning of the name Jael is: He that ascends; a kid. Hebrew Meaning: The name Jael is a Hebrew baby name. In Hebrew the meaning of the name Jael is: Mountain goat.SoulUrge Number: 6. Expression Number: 1. People with this name have a deep inner desire for a stable, loving family or community, and a need to work with others and to be appreciated.he name Jael is a Biblical baby name. In Biblical the meaning of the name Jael is: He that ascends; a kid. Hebrew Meaning: The name Jael is a Hebrew baby name.