Jed hates the way Danny calls him “Daddy,” but when Rose goes to admonish him on this point, Jed confesses his undying love, and they wind up having passionate sex. Crystal interrupts them and shares this gossip with her phantom caller, who turns out to be Cat, who has discovered that Crystal’s disembodied voice makes her purr.

On Halloween, Cat announces she’s pregnant by Jed, while Danny, who is dressed up as Supergirl, flies out a window to his death. Jed, now known as J. Dogg, wins a Grammy for “My Seed,” a rap tribute to Danny. Cat gives birth to Lily, but not before relapsing on smack, which prompts Rose to move in with Jed. Meanwhile, Crystal reveals to Jed that his real father is John Lennon, who had it off with Crystal on a floor in Bath after a psychic reading. We also learn that Rose was once the lover of Jed’s elder brother, who died while jumping out of a speeding car to retrieve his cocaine. Rose reconciles with Cat only to realize that Cat is once again using. She takes the baby and walks out. Distraught, Cat overdoses and dies.

This summary does Ms. Draper’s play a service. It is actually much worse than it sounds. What was she thinking? Was this supposed to be a hiply ironic comedy of modern manners? (You’d certainly need a heart of stone not to laugh aloud at the music video of “My Seed” that opens Act Two.) Or is it a cautionary tale for lesbian couples thinking of using a live sperm donor instead of a turkey baster? Or a pilot for a soap opera targeted at the burgeoning junkie-lesbian demographic? Ms. Draper’s TV roots seem to show through. Despite the not-for-television subject matter, the tone is oddly conventional, a sort of “Partridge Family” with four-letter words.