The correct way of citing the source in MLA format is:
B: Bryson, Bill. One Summer: America, 1927. Doubleday, Oct. 2013.
How to use MLA format
Author's Name: The author's name is presented with the last name first, followed by the first name. In this case, the author is Bill Bryson.
Title of the Book: The title of the book, One Summer: America, 1927, is italicized or underlined. It's important to note that the title is italicized and not in quotation marks.
Publisher: The name of the publisher is provided next, which is Doubleday in this instance.
Publication Date: The publication date is specified at the end, including the month (abbreviated) and the year. In this case, it's "Oct. 2013."