THE CAST OF “The Drowsy Chaperone” at Workhouse Arts Center. (Photo: Mike Stevens) The Workhouse Arts Center is now presenting “The Drowsy Chaperone,” a nostalgic musical that features new songs in 1920’s style with panache. Directed by Frank Shutts, the show is a play-within-a-play; a lone enthusiast of the American musical theatre, called simply the Man in Chair (played convincingly by Jeffrey Davis), plays a record on his hi-fi of a fictiti…