When Lucinda Hasting's parents (and Lucinda herself) address Jill, it's always with her last name, but they hadn't seen her since she was married. This is a plot error.
Sipowicz: You should have your own talk show, Peaches.
Peaches: Your case would require a long conversation.
Sipowicz: Somebody do your hair with a blowtorch?
Title: I Love Lucy
I Love Lucy was a comedy show that ran on CBS from 1951 to 1957.