Many think so, yet what Eve did was to become drawn away from God and eat upon the tree of knowledge, thus she know she would die someday.
Knowing we will someday die separates us from the animals who, despite having some intelligence, do not come to know they are mortal
I was referring to this part of what you wrote...
hear what YOU are saying and you are right in that God would not pass punishment unto the sons of a father. ...
There are passages that appear to contradict that.
As in the account of the blind man Jesus heals in John 8, and other such passages in the OT.
Daniel 9's prayer on behalf of his nation (some 70 years after the accumulated sins of prior generations had ended them up under the coarse of punishment Daniel himself found himself under the coarse of with his people), also has a similar understanding in it.
Case in point...
Note the existence of an understanding of that contrary to what you wrote and that He does not contradict it but merely states that such was not the case in the following...
John 9:1 And as Jesus passed by, he saw a man which was blind from his birth. 9:2 And his disciples asked him, saying, Master, who did sin, this man, or his parents, that he was born blind? 9:3 Jesus answered, Neither hath this man sinned, nor his parents: but that the works of God should be made manifest in him.
Here is the basis of that understanding...
Exodus 34:6 And the LORD passed by before him, and proclaimed, The LORD, The LORD God, merciful and gracious, longsuffering, and abundant in goodness and truth, 34:7 Keeping mercy for thousands, forgiving iniquity and transgression and sin, and that will by no means clear the guilty;
visiting the iniquity of the fathers upon the children, and upon the children's children, unto the third and to the fourth generation.
Here it is in Daniel's Prayer...
Daniel 9:16 O LORD, according to all thy righteousness, I beseech thee, let thine anger and thy fury be turned away from thy city Jerusalem, thy holy mountain: because for our sins,
and for the iniquities of our fathers, Jerusalem and thy people are become a reproach to all that are about us.
Here it is again...
Matthew 27:25 Then answered all the people, and said, His blood be on us,
and on our children.
And again...
Luke 19:41 And when he was come near, he beheld the city, and wept over it, 19:42 Saying, If thou hadst known, even thou, at least in this thy day, the things which belong unto thy peace! but now they are hid from thine eyes. 19:43 For the days shall come upon thee, that thine enemies shall cast a trench about thee, and compass thee round, and keep thee in on every side, 19:44 And shall lay thee even with the ground,
and thy children within thee; and they shall not leave in thee one stone upon another; because thou knewest not the time of thy visitation. 19:45 And he went into the temple, and began to cast out them that sold therein, and them that bought; 19:46 Saying unto them, It is written, My house is the house of prayer: but ye have made it a den of thieves. 19:47 And he taught daily in the temple. But the chief priests and the scribes and the chief of the people sought to destroy him, 19:48 And could not find what they might do: for all the people were very attentive to hear him.
Apologies, if I failed to make that point clear.
Rom. 5:6-8