Of the three Bronte sisters, people are usually more familiar with

Of the three Bronte sisters, people are usually more familiar with Charlotte who wrote Jane Eyre, a popular required reading novel in the high school repertoire

Meaning of the original sentence:

1. There are three Bronte sisters
2. Charlotte is one of the Bronte sisters
3. People are usually most familiar with Charlotte
4. Charlotte wrote Jane Eyre
5. Jane Eyre is a popular required reading novel in the high school repertoire

Errors of the original sentence:

We use "more" and any other comparative form to compare =2 entities.
We use "most" and any other superlative form to compare >2 entities.

So we have 3 sisters, "more" is wrong in this sentence, we need "most".

Opening pp modifier "Of the three Bronte sisters" has to be followed after comma by the name of one of the Bronte sisters, so eliminate (A) and (B)

POE

(A) people are usually more familiar with Charlotte who wrote Jane Eyre, a popular required reading novel in the high school repertoire
(B) people are usually most familiar with Charlotte who wrote Jane Eyre, a popular required reading novel in the high school repertoire

(C) Charlotte, who wrote Jane Eyre, is usually most familiar to people, a popular required reading novel in the high school repertoire
(with "most" we are fine here, but n+nm is too far away from modifying entity, it seems modifing people in preceeding clause, anyway placement is not working here, it cannot jump over whole clause to modify "Jane Eyre)

(D) Charlotte is usually more familiar to people, writing Jane Eyre, a popular required reading novel in the high school repertoire
('more' should be 'most', comma + v-ing, 'writing' modifies preceding clause, implying Charlotte is the most familiar to people because she is writing Jane Eyre, moreover "writing" seems like general habit of Charlotte, it is not, she wrote it once in the past)

(E) Charlotte is usually most familiar to people for writing Jane Eyre, a popular required reading novel in the high school repertoire


"for writing" correctly presents "what for" aspect.
For writing Jane Eyre, Charlotte is usually most familiar to people

E is the answer