Little Me was a Broadway musical that opened on November 17, 1962 and closed on June 29 of the following year after 257 performances — a number that probably disappointed its backers and makers. The clip below is from The Ed Sullivan Show for March 17, 1963 so that was probably when its producers were worried about the box office and figured that doing a chunk of the show on Ed's program might help out. Broadway producers then usually didn't let scenes from their shows appear on TV until ticket sales were tumbling.
The show starred Sid Caesar in seven roles and two different actresses in each performance played the lead female character, Belle Poitrine, at different ages. They're both in this clip. The book of Little Me was by Neil Simon, the lyrics were by Carolyn Leigh, the music was by Cy Coleman, the show was directed by Cy Feuer and Bob Fosse with choreography by Mr. Fosse. Here's eleven minutes of it…