RORY: Just don’t answer the phone.
LORELAI: Hello, I get calls there, too. I’m not Whatever Happened to Baby Jane? yet, thank you very much.
Whatever Happened to Baby Jane?, 1962 psychological horror-thriller film directed and produced by Richard Aldrich, and based on the 1960 novel of the same name by Henry Farrell. It stars Bette Davis and Joan Crawford as an ageing former child star named “Baby Jane” Hudson, who torments her paraplegic sister Blanche, a former Hollywood star, in an old Hollywood mansion.
The film was a box office success. At the time, it received mixed reviews, but as time has gone on, it has been almost universally acclaimed.
In the film, Jane suspects that her sister is going to have her committed to a psychiatric hospital, and she removes Blanche’s phone from the bedroom, cutting her off from the outside world. This is what Lorelai is referring to when she complains to Rory that she receives calls on the phone as well.
The Annotated Gilmore Girls 