NO!
God has no mother.
GOD is without beginning and without end.
He is the Ancient of Days, without mother or father.
The Son of God was born of Mary as Jesus.
Mary is the mother of Jesus as the Holy Spirit tells us in Scripture.
She is NOT the mother of the Godhead, which is what saying that Mary, is the mother of God says.
Words mean things and it the Holy Spirit intended to tell us that Mary was the mother of God, He would have had it recorded in Scripture as such. He doesn't. The Holy Spirit deliberately and clearly calls Mary *mother of Jesus*.
She was the mother of the incarnation of the Son, not the mother of the Son Himself, not the mother of His Deity.
You and I are going to have to disagree here.
God is a Trinity.
While it is true that there is an inasciable nature to the origin of the three persons in the Trinity. It is not true that this precludes the reality, that an earthly brith of Jesus (who is God the second person) means God was created by Mary.
That is false, the title of Mary as “Mother of God” is there besides the reality of the origin of the persons of the trinity.
You are getting hung up on the idea that to be a Mother is to bring about the creation of a thing. That is not motherhood.
Only God creates a soul for example. To be a mother does not actually mean to be the sole-origin of a person.
One can be a “mother” of an adopted Child. One can also be a surrogate mother. The humanity of Christ had to come from Mary. Since his humanity is fully and not partially united to his divinity (by necessity for salvation of all humanity), Mary bore the Son of God.
Further, to be “God bearer” (theotokos, which you would understand the meaning of if you’ve studied this) does not imply begetting of the essence of God. It implies the necessary communication between the two natures God and Man in one person Jesus Christ.
Thus when Jesus acts to die on the cross both his Human and divine natures are through the action of one person. His humanity dies and this act is done in unity with his divinity.
Otherwise, his atonement is merely the act of a man and not God.
Why would God die on the cross? Why would God be born of a woman? To accept one and deny the other is incomprehensible. God came into the world and God died in it, or else God did neither of those things and our faith is in vain.