Punky Brewster (1984)

Season 2: Episode 4

Punky and Cherie want to open a babysitting service so they can earn enough money to buy Betty a birthday gift, and Henry reluctantly lets Punky be involved in it as long as Betty is the supervisor of the service. Punky and Cherie end up mixing up two babies, giving Mrs. Rafer's baby to Mrs. Darney and giving Mrs. Darney's baby to Mrs. Rafer. After solving this problem, Punky and Cherie close the babysitting service and give Betty a gift that they made for her -- a dress that they accidentally sewed a pair of pants to.