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 first discovered in 1932.This question checks Nouns modifier and intended meaning. There is a property of something, but comparison is done with something else.(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 first discovered in 1932.-> Okay. Clovis Points spear points..., 2nd one "Clovis Points have been found...", 3rd one "Clovis Points have been found...", and 4th one "Clovis Points are named for the...". Where talks about New Mexico Site, which makes sense. So far, so good. Let's keep it.
(B) Although named for the New Mexico site where first discovered in 1932, Clovis points are spear points of longitudinal grooves chipped onto their faces and have been found all over North America. -> Intended meaning is asking for comparison of "found all over North America" with "named for the New Mexico site". IN this option, we are comparing "named for the New Mexico site" with "spear points of longitudinal grooves chipped". It is not correct.
(C) Named for the New Mexico site where they have been first discovered in 1932, Clovis points, spear points of longitudinal grooves chipped onto the faces, have been found all over North America. ->Just! do look at verb tense error "have been first discovered in 1932". Easy pick!
(D) Spear points with longitudinal grooves that are chipped onto the faces, Clovis points, even though named for the New Mexico site where first discovered in 1932, but were found all over North America.-> Spear points "but were found all over North America". It doesn't make sense. It should be Clovis points.
(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 first discovered in 1932.->Just! do look at verb tense error "have been first discovered in 1932". Easy pick!
So, I think A.