Just back to a reason Luke might have felt led to give the genealogy of the line of Mary, goes right back to Genesis.
Genesis 3:14 And the LORD God said unto the serpent, Because thou hast done this, thou art cursed above all cattle, and above every beast of the field; upon thy belly shalt thou go, and dust shalt thou eat all the days of thy life:
15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.
This is the only time I know of that the seed of the woman is mentioned. Jesus came to crush the serpants head, and the virgin birth would make him the seed of the woman. Does this make any sense? Maybe this is why he was led to give the genealogy he did?
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Saved by an incredible Grace.