Mary is Mother of Jesus who is third Person of the Trinity of God.
Mary is not Mother of the Father, she is Mother of God Incarnate.
She did not carry the Father nor the Holy Spirit in her womb, she carried the Son.
Mary was married to Joseph. He connection to the Holy Spirit was spiritual.
Scripture tells us only that the Holy Spirit overshadowed her and that it was though the action…not physical because the Holy Spirit is spiritual not material, and made no marriage contract, by the way, scripture only speaks of Joseph as her husband, Mary as his wife.
"the angel said to her, “Do not be afraid, Mary; you have found favor with God. 31 You will conceive and give birth to a son, and you are to call him Jesus. 32 He will be great and will be called the Son of the Most High. The Lord God will give him the throne of his father David, 33 and he will reign over Jacob’s descendants forever; his kingdom will never end.”
34 “How will this be,” Mary asked the angel, “since I am a virgin?”
35 The angel answered, “The Holy Spirit will come on you, and the power of the Most High will overshadow you. So the holy one to be born will be called** the Son of God. [Luke 1:31-35
18 This is how the birth of Jesus the Messiah came about[d]: His mother Mary was pledged to be married to Joseph, but before they came together, she was found to be pregnant through the Holy Spirit. 19 Because
Joseph her husband was faithful to the law, and yet[e] did not want to expose her to public disgrace, he had in mind to divorce her quietly.
And from Matthew 1:18-25
20 But after he had considered this, an angel of the Lord appeared to him in a dream and said, “
Joseph son of David, do not be afraid to take Mary home as your wife, because what is conceived in her is from the Holy Spirit. 21 She will give birth to a son, and you are to give him the name Jesus,[f] because he will save his people from their sins.”
22 All this took place to fulfill what the Lord had said through the prophet: 23 “The virgin will conceive and give birth to a son, and they will call him Immanuel”[g] (which means “God with us”).
24 When Joseph woke up, he did what the angel of the Lord had commanded him and took Mary home as his wife. 25 But he did not consummate their
marriage until she gave birth to a son. And he gave him the name Jesus."
We do need to read papal documents like Marialis Cultus to obtain a true understanding of our Blessed Mother.
vatican.va/holy_father/paul_vi/apost_exhortations/documents/hf_p-vi_exh_19740202_marialis-cultus_en.html**