B is a sentence fragment. Sentence fragments are groups of words that look like sentences, but aren't. In order to be a sentence, groups of words need to have at least one independent clause. An independent clause is any group of words that contain both a subject and a verb and can stand on its own as it represents a complete thought. Sentence fragments never have independent clauses, but instead are dependent clauses or phrases. In this case, B is a sentence fragment. It contains a subject, the NP "Mary" modified by a what-it-appears-to-be an appositive phrase (an excellent basketball player), but it lacks the predicate.
Curlys wife was very controlled by the men, she wasn’t able to be her own person either. it changed throughout the book by the events that took place and her realizing her worth and taking it back.