Smoke Gets in Your Lies - S1-E2
Other mistake: Fran and Maxwell come out of the dining room and go into the living room. They come out of the door that normally leads to Maxwell 's office.
The Nuchslep - S1-E4
Other mistake: About 2/3 into the show, Fran carries a box of cookies into Maggie's bedroom. The box's name brand is covered over but Fran says she brought the Mallowmars. However when they show an actual cookie they are eating, you can see it's a Snackwell Devil's Food Cake cookie, not a Mallowmar.
I Don't Remember Mama - S1-E22
Other mistake: Towards the end of the show, Fran has a tape of the Sheffield's which she removes from the cover and inserts into the player, upside down. It's quick but it's there. (00:21:30)
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.