Herringman had a reputation as a rare stationer who actually profited from the Great Fire of London (1666), in which most of his compatriots lost their stocks of printed books.
Herringman also published the collected plays of Thomas Killigrew (1664); the collected works of Sir William Davenant (1673); the Dryden/Davenant adaptation of The Tempest (1670); and plays by Thomas Shadwell, William Wycherley, George Etherege, and Sir Robert Howard, among others.
In this capacity as a supervisor and reviser of texts, Dryden may have worked on Shakespearean plays for Herringman.
[1] In addition to dramas, Herringman published a large body of nondramatic literature, including (partnered with John Martyn) the 1678 edition of Samuel Butler's Hudibras, which contained the poem's third and final part.
After selling his retail business in 1684, Herringman became, in effect, the first wholesale book publisher in England; his imprint exists on 532 publications from his era.