just send yourself back to the same page with a URL extension
then put a catch in top of your page to handle the deletion of record XYZ from the database. The page then continues to load with the new data.
If the page is not private, you should also send an auth code with the delete, this makes sure that the request has originated from your page, and isnt someone just randomly deleting your data. pqr would be a code that proves the request came from your page.
Other things to consider, a deleted author may require one or more books to be deleted at the same time. Also vice versa, if the last book from an author is deleted will you want that Author deleted at the same time.
Unless there is a real good reason why not, Id consider combining stories.php and authors.php into one page and using PHP to decide which data is going to be displayed.
PS like the avatar