The Poster for her performance
Debbie Reynolds is an actress, singer and dancer, and a collector of memorabilia. She is perhaps most famous for her work in the movie musical Singing In the Rain. Carrie "Princess Leia" Fisher is her daughter.
In Fear and Loathing, Duke and Gonzo go to see her, but find the ambiance at her show uncomfortable, and are forcibly ejected from the show when they break into a fit of hysterical laughter.