Norma Jennings,played by Peggy Lipton, owns the Double R Diner, which she runs with Shelly Johnson, a good friend of hers, and is organizer of meals on wheels, formerly with Laura Palmer. She is a former Miss Twin Peaks. She is later joined at the Diner by her sister Annie Blackburn, a former nun.

She is the lover of Big Ed Hurley, and married to Hank, a paroled prisoner. She does not care for Hank, but she adores Ed. She feels that she married the wrong man, and now she is stuck with him. She finds it difficult to trust Hank, because he is a criminal, and he has let her down in the past. What she would really like to do is to divorce Hank and marry Ed, but events continually prevent her from doing this. Her mother is a food critic, and the two have a bad relationship.

The neon sign outside the diner says RR Diner, which may stand for Railroad Diner, in reference to its location.