Genesis 3:20

And Adam called his wife's name Eve; because she was the mother of all living.

And Adam called his wife's name Eve - [Hebrew, Chawaah (H2332); the Septuagint, Zooee (G2222), life]. Adam had named her formerly (Genesis 2:23) in reference to her sex; now he distinguishes her by another name no less appropriate, however, to her circumstances, while it was a standing memorial, a prophetic intimation, of her important destiny to the whole of her fallen descendants. Formerly he had shown wisdom in naming the beasts; here he showed more than wisdom-namely, faith, and a perception of his better state. At first, as Lightfoot remarks, his wife must have appeared to be the mother of death, having done that which brought it among their posterity. But he, sensible of a better hope to come in by her, calls her "Eve" - i:e. life, since the word signifies "the mother of all living," preeminently of Christ, and all who live by Him (John 1:4). Thus, a whole history was comprised within the folds of a single word, and the name of Eve would, in the early ages of the world, preserve among the people of God the blessed hope of a Redeemer.