We have no evidence that young Joseph Smith had amassed a vast frontier library which would be necessary to write the Book of Mormon. Even if he had all the books available, Jeff Lindsay has created a satirical skit to show the reality of claiming that Joseph Smith was able to consult such a wide array of books:
The dramatic script below is my attempt to summarize the scholarly and historical investigations of many noteworthy critics of the Book of Mormon, who have identified numerous nineteenth-century sources that Joseph Smith allegedly could have used in crafting the Book of Mormon. Though certain poetic liberties have been taken for purposes of dramatic presentation, every effort has been made to accurately conform to the detailed historical analysis of Book of Mormon critics by showing–for the first time–just how Joseph may have constructed his fabrication with the help of his accomplices.– Jeff Lindsay – One Day in the Life of Joseph Smith, Amazing “Translator” of the Book of Mormon – Satirical Skit
Joseph Smith did not appear to have the time, money, education or interest to consult a vast library of books to create the Book of Mormon, how would he have managed to do it despite all these obstacles?