And Adam called his wife's name Eve; because she was the mother of all living.
All Commentaries on Genesis 3:20 Go To Genesis 3
John Chrysostom
AD 407
See the precision of Sacred Scripture, how it didn't pass over even this detail, but taught us that Adam named his wife as well. "He called his wife Eve, which means life," the text says, you see, "because she was the mother of all the living" that is to say, she is the source of all those who will come from her, the root and foundation of the future race. Then, after teaching us the naming of the woman, it further shows us God's goodness, how he does not overlook them in their depth of shame and nakedness after being created by him.