In 1663, he employed his rights to Shakespeare's plays to publish the Third Folio, a corrected reprint of the Second Folio of 1632.
In the following year, 1664, Chetwinde issued a second impression of the Third Folio, to which he added seven plays: Locrine, The London Prodigal, The Puritan, Sir John Oldcastle, Thomas Lord Cromwell, A Yorkshire Tragedy, and Pericles, Prince of Tyre.