Biblical Meaning: The name Leah is a Biblical baby name. In Biblical the meaning of the name Leah is: Weary, tired. The name Leah is an American baby name. In American the meaning of the name Leah is: Weary, tired. The name Leah is an English baby name. In English the meaning of the name Leah is: Meadow. The name Leah is a Hebrew baby name. In Hebrew the meaning of the name Leah is: Tired. Cow. First wife of Jacob in the Old Testament. Leah became Jacob's first wife by trickery, as Jacob had intended to marry her younger and more beautiful sister, Rachel, who soon became his second and favoured wife.