This is confusing to me. A person takes the lineage of one's father. Since
Abraham Levin's father was presumably a Levi (Levin is a derivative of Levi, one
of the twelve tribes), there is a separate question about how Abraham's father
would have been HaKohen.
HIRSZFELD, HIRSCHFELD, LINDENBAUM, BUXBAUM, BUKSBAUM, BUCHSBAUM-Skwarzawa,
Sielec Bienkow (Selets), Glinyany, Novyy Yarychiv-GALICIA
MINOWICKI, MINOFF, MINOWITZKI, TOBIASZ-Brest Litovsk, Wysokie Litovk-BELARUS
I have a couple of relatives whose gravestones have their fathers listed as
Ha'Kohen (or perhaps simply HAKOHEN) in the example of my gg grandfather, Abraham
LEVIN, has his father listed on his gravestone as "Yakov Mordechai Ha'Kohen". Now,
I have encountered several people who have the last name "HAKOHEN", and I know that
having this listed on one's stone is not neccesarily an indication that their last
name is actually "HAKOHEN" but possibly a reference to them being of Kohen lineage.