Thank you for taking the time to consider the OP, and respond to it.
Can I answer based on what you understand from, first of all...
The Bible says Adam was not deceived.
Thus Adam acted on his own free will.
Do you disagree?
Isaiah 53:6
All we like sheep have gone astray; we have turned every one to his own way; and the Lord hath laid on him the iniquity of us all.
I can't agree or disagree without you first qualifying what you mean by "his own free will". I can say with certainty we each have our own individual will just like Isaiah 53:6 shows above, but what is the will supposedly free from? We really need to qualify what the will is free from when we assert a free will, otherwise it's not a stable term to reason upon.
We need to acknowledge that there is a carnal will that seeks one's own comfort and avoids discomfort. The flesh is hardwired to like pleasure and dislike pain.
We also have to acknowledge that the context of 1 Timothy 2:14 is not about a will. It's about whether the man should have authority over the woman.
It looks to me like Paul is expressing his opinion that the woman should not usurp authority over the man based upon the reasoning that the man was made first (woman was made from a piece of the man) and also that the man was not the one deceived (in the garden).
I don't think this scripture can be used to validate that Adam or Eve in a state of innocence/ignorance were capable of avoiding the events set in motion by the serpent who is markedly described as the craftiest creature. If I am to assume that Eve's actions are more excusable because she at least was beguiled, it would be contradictory for Paul to say that the man who has no such excuse, should be in charge over the woman because he knew exactly what he was doing when he counted God as untrustworthy.
Not only that, we know that God told Adam his mistake was listening to the woman, but since I don't believe God is disparaging the female as unworthy to ever listen to, I think God is saying Adam should have trusted to his own judgment and not been so malleable to the woman.
As for who should be in charge, elsewhere in scripture Paul states that there is no Jew or gentile or male or female, for we are all one in Jesus Christ. With the understanding that the greatest is the one who serves the rest, that sounds to me like it doesn't matter if you're a woman or man.
Finally, the assertion that mankind has a free will is often used to apply blameworthiness, or some measure of culpability for wickedness and sin. This type of freewill theology is based on the either-or question of who is to blame for sin, man or God?
