SHERRY: Didn’t you schedule yours?
LORELAI: Not quite. A half hour before I had Rory, I was eating a pepper sandwich and watching TV. [to Rory] You were almost named Quincy.
Quincy ME, mystery medical drama series which aired from 1976 to 1983 (Lorelai must have been watching a repeat). Jack Klugman stars in the title role as a LA medical examiner who routinely engages in police investigations. The show was inspired by the book Where Death Delights, by Marshall Houts, a former FBI agent. Quincy’s character is loosely modelled on LA “Coroner to the Stars” Thomas Noguchi.
Lorelai said that she spent several hours in labour before having Rory. I presume that when she says she was watching TV half an hour before having Rory, she means that’s what she was doing half an hour before labour started.