Few points of interest.
I. Genesis 2: 21And the LORD God caused a deep sleep to fall upon Adam, and he slept: and he took one of his ribs, and closed up the flesh instead thereof;
22And the rib, which the LORD God had taken from man, made he a woman, and brought her unto the man.
23And Adam said, This is now bone of my bones, and flesh of my flesh: she shall be called Woman, because she was taken out of Man.
Was it that woman was already in man, so, God called both of them together as, "Adam"?
II. The talk between the 'serpent' and the 'woman' recorded in Genesis 3 starts somewhere in the middle of conversation.
Vs. 1 Now the serpent was more subtil than any beast of the field which the LORD God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden?
Does plural addressing such as, "Adam" mean in any way that the sin entered into the world through both of them collectively, rather than saying that it entered through man, "Adam"?
If we notice more about it, we see that the serpent did not tell Eve to eat the forbidden fruit. It was her decision yielding to temptation.
1Now the serpent was more subtil than any beast of the field which the LORD God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden?
2And the woman said unto the serpent, We may eat of the fruit of the trees of the garden:
3But of the fruit of the tree which is in the midst of the garden, God hath said, Ye shall not eat of it, neither shall ye touch it, lest ye die.
4And the serpent said unto the woman, Ye shall not surely die:
5For God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as gods, knowing good and evil.
6And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat.