Sentence Correction

Even though Clovis points, spear points with
longitudinal grooves chipped onto their faces, have
been found all over North America, they are named for
the New Mexico site where they were fi rst discovered
in 1932.
(A) Even though Clovis points, spear points with
longitudinal grooves chipped onto their faces,
have been found all over North America, they
are named for the New Mexico site where they
were fi rst discovered in 1932.
(B) Although named for the New Mexico site where
fi rst discovered in 1932, Clovis points are spear
points of longitudinal grooves chipped onto
their faces and have been found all over North
America.
(C) Named for the New Mexico site where they have
been fi rst discovered in 1932, Clovis points,
spear points of longitudinal grooves chipped
onto the faces, have been found all over North
America.
(D) Spear points with longitudinal grooves that are
chipped onto the faces, Clovis points, even
though named for the New Mexico site where
fi rst discovered in 1932, but were found all over
North America.
(E) While Clovis points are spear points whose faces
have longitudinal grooves chipped into them,
they have been found all over North America,
and named for the New Mexico site where they
have been fi rst discovered in 1932.

[spoiler]OG12 ques
In this question i find the OA:A
but didn;t understand that in A "their" refers to what??can sombody pls explain A
and why not to choose D over A[/spoiler]

All other choices somehow distort the original meaningn of the sentence.

Hence A. Buti would have liked it better if it was"named after the New Mexico" instead of named for.

I second that. At first I thought 'named for' is incorrect, but none of the options contained 'named after'. I make a note for myself that 'named for' is correct.

D contains couple of errors:

It's not a sentence: (modifier),Clovis points, (modifier), but were found all over North America.
'Were' is not correct; according to original sentence, they are still found.