Complex sentence: Chauncey Miles is a star the Irving Place theater, a burlesque house in New York City, playing a "nance", a "stock character who was a flamingly effeminate homosexual".
Split into simpler sentences: Chauncey Miles is a star at the Irving Place theater, a burlesque house in New York City. He specializes in playing the "nance", a "stock character who was a flamingly effeminate homosexual".