How right you are my bright little star!

There is another nuance from:

Genesis 3:15 (ASV) ". . . and I will put enmity between thee and the woman, and between thy seed and her seed: he shall bruise thy head, and thou shalt bruise his heel."

And it has to do with 1 John 3.9, and John 15.7. It was the woman's seed which speaks of a virgin birth. But, it also speaks of the work of the Holy Spirit in regeneration within the believer by the Word of God. Three things take place: Conviction and condemnation of sin, i.e. the curse, and the presentation of the promise, (the gospel in terms of the messianic prophecy), the declaration of the seed in the woman (new birth), and the coverings (external equivalent of baptism). That Eve should bring forth both fruit of the flesh (Cain) and of the Spirit (Abel) should not surprise us since we the Bride of Christ bring forth both, so she fulfills the role of Prophetess also even as Abraham who was justified by what he did after the deliverance of the promise by the Lord.

I also think the fact that Eve is in the lineage of Christ is of utmost importance. The lineage of the promise is unbroken, beginning to end. That His seed remained in Her is spoken of by the same testimony that the children of Abraham according to the promise was in his seed, Isaac, and by virtue of that it is an impute righteousness from the cross backwards and forwards.