In Hebrew, name Abigail means – Father rejoiced, or fathers joy. Gives joy. The intelligent, beautiful Abigail was Old Testament King Davids third wife, described as good in discretion and beautiful in form. In the 1916 play The Scornful Lady, Abigail was a ladys maid.. Other origins for name Abigail include – Hebrew, Biblical. Name Abigail is most often used as a girl name or female name.