You mean this extrapolation, but which logic fails to go back far enough by extension,to Eve.
...the blood of Jesus is the maternal blood of Mary... — www.catholictradition.org/Mary/virgin-eucharist.htm
Go with this ineffable chaste thought to the banquet of God and you will find in the Blood of the Son the nourishment of the Mother. ^
..in Jesus is always the Immaculate flesh and the Virginal blood of His Most Holy Mother which penetrates into our hearts and inebriates our souls. ^
What is needed is a mother who may eat this supersubstantial Bread, transform it into her milk, and in this way feed her poor children. This mother is Mary. She nourishes herself with the Word and transforms It into the Sacred Humanity. She transforms It into Flesh and Blood, i.e., into this sweetest of milk which is called the Eucharist.”.. ^
“O Christian who comest full of faith to receive the Bread of life, eat It worthily, and remember that It was fashioned out of Mary’s pure blood.” Mary can quite rightfully beckon to us and speak to us in the words of the inspired prophet, “Come and eat my bread, drink the wine I have prepared” (Prov. 9:5)...
Thus every time we go to Holy Communion, something sweet to recall is that Jesus in the Blessed Sacrament is the Bread of Life produced from Mary with the flour of her Immaculate flesh, kneaded with the admixture of her virginal milk. ^
Do virgins PRODUCE milk?