The Apostle Paul may have had better data than Ireneaus.
[2 Corinthians 11:2-3] For I am jealous over you with godly jealousy: for I have espoused you to one husband, that I may present you as a chaste virgin to Christ. But I fear, lest by any means, as the serpent beguiled Eve through his subtilty, so your minds should be corrupted from the simplicity that is in Christ.
"Beguiled"....Strong's #1818. exapatao (ex-ap-at-ah'-o) "to seduce wholly"
This may be why the Holy Spirit inspired these words that follow the incident itself: [Genesis 3:13-16] And the LORD God said unto the woman, What is this that thou hast done? And the woman said, The serpent beguiled me, and I did eat. And the LORD God said unto the serpent, Because thou hast done this, thou art cursed above all cattle, and above every beast of the field; upon thy belly shalt thou go, and dust shalt thou eat all the days of thy life: And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.........and.......... Unto the woman he said, I will greatly multiply thy sorrow and thy conception; in sorrow thou shalt bring forth children; and thy desire shall be to thy husband, and he shall rule over thee.
I have noticed that you seem to include “Ping Pong” in a lot of your posts on Free Republic