To find out more about a potential author with this name, you could:
* Check online book databases: Websites like Goodreads, LibraryThing, or WorldCat may have information about authors with similar names.
* Search for publications: Try searching for "J B Mitchell" in Google Scholar or other academic databases.
* Contact libraries or bookstores: Local libraries or bookstores may have resources to help you identify authors or find more information about publications.
Please provide more context or details about the author or their work, such as the genre or a specific book title, to help with the search.