Peccadillo artistic director Dan Wackerman will stage the 7 PM reading.
Additional cast members will be announced to join Baker (Three Tall Women, Suddenly Last Summer, "The New Adventures of Old Christine") and Hildreth (Cinderella, Peter and the Starcatcher, Bloody Bloody Andrew Jackson).
The Second Man, according to the Peccadillo, "concerns a hack writer faced with a romantic choice between a wealthy woman who supports him financially and a beautiful younger woman who adores him. This sparkling comedy of manners was praised by critics for its cultured, witty dialogue and its subtle insight into human psychology."
The play first premiered in 1927 starring Alfred Lunt, Lynn Fontanne and Margalo Gillmore. Behrman is also the writer of Fanny, Jacobowsky and the Colonel, Biography, I Know My Love, No Time for Comedy, The Pirate and End of Summer.
General admission is $25, and reservations may be made by calling (212) 352-3101. For more information, visit ThePeccadillo.com. The Theatre at St. Clement's is located at 423 West 46 Street.