Lk 1:43, Jesus is Lord.
Jesus IS God the Son. God the Father and God the Holy Spirit are all God. Did Mary bear them all? For if Christ is God, the Father is God and the Holy Spirit is God, and to claim Mary is the "Mother of God," failing to include ALL of the Godhead would seem to me to be wrong.
The only reason this objection is reasonable is if you are a Modalist. You are not a modalist are you? Because then you are suggestion patripassionim.
God is eternal. He cannot be "born" -- God is not created. Christ is the Second Person of the Godhead -- "very God of very God" -- not created or made... Jesus was indeed born of Mary. His physical body was born of Mary. She is the mother of Jesus. She cannot be the Mother of God, because God must imply the Trinity -- when you say "God" you DO mean the Triune God, right? Because God IS a Triune God. So, if you claim Mary bore GOD, she would have to have borne the Godhead. She couldn't. She didn't. She bore Jesus. Unless you're claiming that God the Son is a different God than God the Father or God the Holy Spirit.
You're not saying that, are you?
Hoss
Back up and consider how Jesus The Son of God referred to Mary in person (at the wedding) and when she came with more of the family to speak with Him as He taught in someone’s home. Mary IS the Mother of Jesus. When Jesus was functioning as God with us, He addressed her as ‘Woman’ not Mom or Mother. When she came with others of the family to speak with Him, perhaps to try and persuade Him to stop putting Himself and the family at risk with His teaching, He didn’t address her directly even, just by comparative relationship.