Continuity mistake: When Fran's date Jack first enters the house, Fran closes the door behind him. A couple of shots later, the door is open and Fran is closing it again.
Continuity mistake: In the scene when Fran is having an intimate talk with Joan, Fran has a cookie in her left hand. Next scene it's an empty glass which she then pours a drink into, then the glass is empty and Fran again fills it. (00:14:10)
Other mistake: In this episode, Maxwell finds out about Fran's tattoo. Fran mentions that her tattoo was on her behind. Maxwell spends the episode trying to see it but in Season 3 and Episode 26, when the Sheffields are in the beach, Fran strips down to her bikini in front of Maxwell. Maxwell checked her from behind, meaning he should have been able to have seen her tattoo.
Danny's Dead and Who's Got the Will? - S4-E12
Continuity mistake: At the start, when Fran joins Niles, she's holding a green mug in her left hand and a muffin in her right hand. But the mug and muffin suddenly switch hands when Fran and Niles head to the sofa.
Character mistake: The Sheffields are going to Miami but when they are there, Maxwell mentions having gone to Disney World on the same trip. Disney World is not in Miami, it's in Orlando.
Continuity mistake: When Fran's in the kitchen making an ice cream sundae she tops it with a lot of whip cream, but after Fran pulls a tissue out of Gracie's shirt, when she and Maxwell sit down all of the whip cream suddenly vanishes, but then it reappears.
Answer: Mr. Sheffield needed someone to manage the kids, not necessarily babysit them. Brighton was a Bart Simpson type, Maggie was shy and awkward and Gracie had personality issues.