Emily had several different housekeepers and cooks throughout the first season.
On the third episode, Emily mentions that her cook’s name is Mira. Lorelai responds that she thought her name was Heidi, and Emily tells her that Heidi was let go a few months earlier.
Emily goes on to say that after Heidi, Trina, Sophie, and Anton worked for her before the current cook, Sarah, was hired. But by the end of the season, Emily mentions that the cook’s name is Rosa, indicating that Sarah also left at some point during the season.
Emily’s revolving door of housekeepers and cooks becomes a running joke, but fans may have missed the onset of the gag on season one.