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The angel Gabriel was sent from God unto a city of Galilee, named Nazareth, To a virgin espoused to a man whose name was Joseph, of the house of David; and the virgin's name was Mary. And the angel came in unto her, and said, Hail, thou that art highly favoured, the Lord is with thee: blessed art thou among women. Luke 1:26-28
A certain woman of the company lifted up her voice, and said unto him, Blessed is the womb that bare thee, and the paps which thou hast sucked. But he said, Yea rather, blessed are they that hear the word of God, and keep it. Luke 11:27-28
Jesus said that his mother (The Most Blessed Virgin Mary) wasn't blessed. (At least her womb and breasts weren't, anyway.)
So Gabriel was probably just being polite when he recited the first half of the Rosary with her. (Hail Mary, full of grace. The Lord is with thee. Blessed art thou among woman....)