Adam named his wife Eve, because she would become the mother of all the living. Gen 3:20 (NIV)
In Hebrew, her name is Chava, which is related to chai (life).
The living, not the dead. The curse is pronounced upon the serpent and the ground. Please take note of that. No curse is pronounced upon Adam and Eve. This does not mean that they go unpunished, far from it. But the idea of humanity being cursed for all generations because Adam and Eve ate from the Tree of Knowledge has no Biblical basis.
Eve, her name means life. She is mother of us all. The world's first mother. She is the progenitor of all the generations of humanity. Rather than shame her memory by saying we are cursed because of her sin, let us acclaim her life giving quality.
Praise the Lord, Who, in His great mercy and loving kindness, did not immediately put to death Adam and Eve for their sins but allowed them to beget the human race.