fisherman, yes she did,
Again, Eve did not produce the second Adam, the perfect son of God, JC. The rest of your commentary is irrelevant because it deflects from this subject matter.
Also, a sinful imperfect woman cannot produce a perfect seed let alone any woman producing seed. It is the man that provides the seed.
In Gal 4 Paul explains the symbolic woman of Gen 3:15. The woman is barren, God’s symbolic wife, the angelic host from where Jesus came.