Mary’s response a declaration of life

After hearing Elizabeth’s reaction and excitement over her own tiny little baby; we find Mary’s response as she listened when she said ‘the mother of my Lord’.
Mary’s Song Luke1:
46 And Mary said:
[“My soul glorifies the Lord
47 and my spirit rejoices in God my Savior,
48 for he has been mindful
of the humble state of his servant.
From now on all generations will call me blessed,
49 for the Mighty One has done great things for me—
holy is his name.
50 His mercy extends to those who fear him,
from generation to generation.
51 He has performed mighty deeds with his arm;
he has scattered those who are proud in their inmost thoughts.
52 He has brought down rulers from their thrones
but has lifted up the humble.
53 He has filled the hungry with good things
but has sent the rich away empty.
54 He has helped his servant Israel,
remembering to be merciful
55 to Abraham and his descendants forever,
just as he promised our ancestors.”
56 Mary stayed with Elizabeth for about three months and then returned home.]
I have often wondered if Mary stayed there till John was born and perhaps learned how to deal with labor and delivery.
In those times they did not have fancy ‘delivery’ rooms like we have now.
It could have been very primitive and very private.
We are not told. We just know Elizabeth was old and this was a pregnancy chosen by God to be special.
Mary returns home to where Joseph was and the story continues.