This statement of yours is incorrect. The Israelite lineage was always reckoned through the fathers not the mothers until the 70 AD when all records were lost. All genealogies listed fathers --- not mothers. Moses who had an Egyptian wife in Numbers 1:18 records:
"And they assembled all the congregation together on the first day of the second month, and they declared their pedigrees after their families, by the house of their fathers, according to the number of the names, from twenty years old and upward, by their polls."
Furthermore, the command to the daughters of Zelophehad was that they had to marry within a family of the tribe of their father --- not their mother, or even one of their own choosing [Nu 36:6-8].
And the law of inheritance [Nu 27:1-11] even specified that the inheritance, if there were no sons or daughters, was to pass to the brethren, the father's brethren, or the nearest kinsman. Always the father or the father's lineage --- not the mothers'.
You are correct...it was a poor choice of words on my part. What I should have said was this: [Genesis 3:15] tells us that the Messiah will be reckoned through the seed of the woman. Therefore, it is apt that the genealogy in Luke show the line down through Mary.....and the fact she was clearly a descendant of David.
Although....today, it is difficult to say you are Jewish unless you can prove your mother was....Jewish.
There are some instances where the genealogies go through the women but most always go through the males. In [I Chronicles 2:22] Jair is of the tribe of Judah but in [Numbers 32:41] he is of the tribe of Manasseh. For some reason his descent here may have been reckoned through his mother. [1 Chronicles 2:34] tells us that Sheshan had no sons....only daughters but his genealogy continues on down through his grandson Attai. His mother's name is not mentioned but she was definitely included as Sheshan's daughter.
Huram-Abi, in [2 Chronicles 2:14] was listed as having a mother from Dan....so the genealogies of the Israelites could sometimes be listed through the ladies.
As I said in my post the most important aspect of the two genealogies (Matthew & Luke) was to show that Our Messiah was indeed born of a virgin and inherited his rights through his stepfather.