Though Jesus had no children, we know his brothers and sisters did. Who is the last traceable descendant? Apparently some unnamed ones challenged Pope Silvester I.
(I am an Atheist)
Jesus family remained leaders of Jerusalem Christians until the Jews were expelled after Bar Kokhba's revolt. Judah Kyriakos, great-grandson of the Jesus brother was a last Jewish bishop of Jerusalem. Attested by Eusebius of Caesarea he is the last documented person of the dynasty.
P.S. I have read about Christian martyr in III century Persia, who claimed to be relative of Jesus. But I can't found the source and- as far as I can remember- it was from some really obscure martyrology.