And Adam called his wife's name Eve because she was the mother of all living. Both Adam and his wife received the first Gospel proclamation in silence; they believed the promise and arose from their fall with due repentance. This is shown even in the name which Adam applied to his wife, calling her "life," or "source of life," because she became the mother of the entire human race, whose propagation and life was dependent upon her.
Related Commentaries of Genesis 3:20
Genesis 3:20
20 And Adam called his wife's name Eve;e because she was the mother of all living.