Dawn Wells may have been doing her own singing in this story, due to the fact that it is commonly reported by Wells that she was unable to sing & was tone deaf. In other story lines where it is seen that all the castaways are singing, she was directed to lip sync. In #2.12;Don't Bug The Mosquitoes, when the ladies are performing as The Honeybees, Marry Ann's solo is dubbed by singer Jackie Deshannon while Tina Louise and Natalie Schafer did their own singing.
The popular song "I Wanna Be Loved By You" is a song written by Herbert Stothart and Harry Ruby with lyrics by Bert Kalmar for the 1928 musical GOOD BOY. In that 1928 musical, Helen Kane made it very popular, and Marilyn Monroe later sang it in her 1959 movie SOME LIKE IT HOT.
Mr. Howell exclaims, "By Jove, I think she's got it!" This is a quote from George Bernard Shaw's play, Pygmalion.
While in the bathtub, Gilligan is wearing his watch.
When Mr. Howell is introducing Mary Ann, who is about to go onstage to sing "I Wanna Be Loved By You", he is speaking the same way Ed Sullivan did when introducing guests on The Ed Sullivan Show. The Ed Sullivan Show was an American t.v. variety show that ran on CBS from June 20, 1948 to June 6, 1971.