The Pacifier
Lisa and Bart try to get Maggie to stop sucking on her pacifier, but Maggie, who has an entire drawer full of them, refuses to kick the habit.
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S0 E1
Good Night
Good Night was the first ever Simpsons short to air on The Tracey Ullman Show. The five main family members - Homer, Marge, Bart, Lisa, and Maggie - were first introduced in this short. Homer and Marge attempt to calm their children to sleep, with the opposite results. Maggie can be heard saying "good night". She rarely talks throughout the run of the series.
S0 E2
Watching TV
Bart and Lisa quarrel during commercial breaks over what channel they'll watch. Repeatedly Maggie comes up to the television and changes the channel. Later Homer is saying some speech about family matters then stops when the show comes back on. A piece of music from the Tracey Ullman show plays at one part or another during the short.
S0 E3
Jumping Bart
Homer makes several attempts to have Bart jump into his arms. Each time Bart jumps Homer is distracted and fails to catch him. Towards the end of the episode boxing gloves are delivered, presumably the ones used in the episode Punching Bag.
S0 E4
Babysitting Maggie
Marge puts Bart and Lisa in charge of babysitting Maggie. They watch TV while Maggie gets electrocuted, falls down the stairs, and falls off the roof. Maggie sticks a fork in an electrical socket thereby electocuting herself, she crawls up the stairs and falls down them in insane Slinky fashion then she climbs onto the roof in hot pursuit of a butterfly, and falls off it.