The Red Bull Theater Company was founded in 2003 to present the talented playwrights of Shakespeare’s time who have been overshadowed by the Bard and bring their plays to new audiences. Among its productions have been The Changeling (Thomas Middleton and William Rowley), Women Beware Women (Middleton alone) and ’Tis Pity She’s a Whore (John Ford), as well as the occasional Shakespeare. In the years since, the mission has evolved into “classics” outside the 17th century as well—the company’s The Government Inspector, a Nikolai Gogol play of 1836, was one of its most exhilarating triumphs. Now Jeffrey Hatcher, who adapted the Gogol, has given an assist to Ben Jonson’s The Alchemist.