Theater Company Takes Richard III Back to the Parking Lot Richard III has only just extricated himself from ignominious burial under an English parking lot. But if a Manhattan theater troupe has its way, to the parking lot he will return, at least temporarily. The Drilling Company has announced that "Richard III," Shakespeare's play about the misshapen monarch, will be featured in its Shakespeare in the Park (ing) Lot season, held each summer on the Lower East Side. "We have known for a long time that parking lots and Shakespeare were connected," Hamilton Clancy, the company's artistic director, who will also direct the production, said in a statement. Our intention is to bring Richard III back to life in a parking lot. The production, which will run from Aug. 1 to Aug. 17, isjust the latest Drilling Company offering to spin off the news. Last year's season included "Coriolanus," set during an election campaign pitting plutocrats against the 99 percent, and a version of "The Merry Wives of Windsor" unfolding in a controversial Lower East Side condominium.