'Ancestry' in the Bible

The record of the genealogy of Jesus the Messiah, the son (descendant) of David, the son (descendant) of Abraham:

with no father or mother, and no record of ancestry: having neither beginning of days nor end of life, but made a type of the Son of God--this man Melchizedek remains a priest for ever.

But Melchizedek who does not share their ancestry collected a tithe from Abraham and blessed the one who possessed the promise.

who has become a priest, not on the basis of a physical and legal requirement in the Law [concerning his ancestry as a descendant of Levi], but on the basis of the power of an indestructible and endless life.