Rooftop herb gardens are so last year: now hotels are keeping their own chickens. The henhouse at Quebec City’s Fairmont Le Château Frontenac has a copper roof to match the property’s. Atop New York’s Crosby Street Hotel, four Araucana chickens lay blue-shelled eggs. And the rare birds that André Balazs raises upstate appear at the restaurant at his Standard New York. Very plucky, indeed.