Irrelevant. Jesus is a priest, but not from Aaron. His Kingship, likewise, is not biological.
Since Mary and Elizabeth were cousins (or "sisters" ;o), presumably Mary would also be from the line of Aaron.
Was there no intermarriage?
SD
Remember your discussion about Jesus needing to be truly human in order for his sacrifice to benefit humanity? Likewise, he needed to be of the line of David in order to fulfil the messianic prophecies of the Hebrew scriptures. From the gospel:
Doth not the scripture say: That Christ cometh of the seed of David and from Bethlehem the town where David was? (John 7:42)
Was there no intermarriage?
Tribal affiliation was patrilineal.