As for me, I discern the two verses together, the "which were" qualifying "them that believe on his name" to be those who "were born, not of blood, nor of the will of the flesh, nor of the will of man, but of God."
However, it should also be noted that the NIV translation gives a different phrasing of those verses as compared to the KJV and Douay-Rheims. The NIV version comports with your view, the others comport with mine.
To God be the glory, not man, never man!
See you tomorrow ....
I remember you saying you loved the book of John. And truly, it is a work filled with the wonder and splendor of our benevolent and merciful Father who has loved us and adopted us as His children even before we loved Him.
Grace is everything.
You mention your mother's ability to lay everything at the foot of the cross. Anyone in difficult times who has tried to do this, to rest in Him completely, knows how rare that kind of complete trust is. It is a gift. One which we pray for. One which, once we know it is not in ourselves to accomplish, we work all the harder to realize because we now understand the reason for it - God's glory and our welfare.