The word signifies either a living, or, the giver or preserver of life. Though for her sin justly sentenced to a present death, yet by God's infinite mercy, and by virtue of the promised Seed, she was both continued in life herself, and was made the mother of all living men and women that should be after her upon the earth; who though in and with their mother they were condemned to speedy death, yet shall be brought forth into the state and land of the living, and into the hopes of a blessed and eternal life by the Redeemer, whose mother or progenitor she was.
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.