Other mistake: When Lucy responds to the money matter about her hair care, she states, "I can be a thin redhead or a fat brunette," when her real-life natural hair colour was blonde (later dyed to enhance her film career).
Suggested correction: Lucille Ball was naturally blonde. Lucy Ricardo was a brunette. This is, at best, trivia.

Visible crew/equipment: At the very start of the opening shot, when Lucy is at the stove, there's a visible crew member at the right side of the screen.