Who is Lucy Chenier and Ben Chenier from L.A. Requiem and what is their importance?

Lucy Chenier is Elvis Cole's girlfriend, a born-and-raised Louisiana resident who relocates to Los Angeles with her son to be closer to her boyfriend. She is a lawyer at a television station, extremely professionally competent and assertive. Her southern accent and sweet disposition belie a fierce, unwavering woman who will do anything to protect the people she loves.