Wrong.
The identifying title *mother of Jesus* is about who MARY is, not about who Jesus is because *mother of GOD* does not even mention Jesus. That has to be explained.
And if it has to be explained, then it's not accurate or reasonable.
Mother of Jesus is clear and accurate enough.
If someone needs to be corrected about who Jesus is, go to SCRIPTURE, where it's perfectly clear.
Don't cloud the issue and make room for more error by making things more vague.
When we call Mary "Mother of God," we are not saying she is the mother of the Trinity. We are saying, like Elizabeth, that the is the mother of our Lord God.
If anybody thinks that this is clouding the issue, I would ask them to review the facts.
If we say that Mary is the "Mother of Jesus," that's true and very clear as far as it goes (it's usually fairly obvious who a baby's mother is) but it does not answer the question of whether Jesus is a Divine Person.
Jesus has two natures: a human nature and a divine nature, but is one Divine Person, not just a ramped-up man. Thus Jesus is God and Mary is the Mother of God.
The description "Mother of God" is clear if you know what question you are answering. Answering the question "Is Jesus a Divine Person?" was the point of the Council of Ephesus.
Mary is of course not the source of the Supreme Being, Who pre-exists all things and Who is without beginning and uncreated, and subsists as a Trinity of Father, Son (Logos, "The Word"), and Holy Spirit. Because Jesus is the son of Mary, he is the son of David, son of Abraham, son of Adam, according to the flesh. Mary is the one who links Jesus, the Word-made-Flesh, to His family tree, the human race.
Instead of "Mother of God" one could make the same point by saying "The-woman-who-links-God-to-the-human-race-through-the-Incarnation-which-took-place-via-her-motherhood." But "Mother of God" is shorter and simpler.