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.
The Annotated Gilmore Girls 