Black Bottom refers to a dance which became popular in the 1920s, during the period known as the Flapper era. The dance originated in New Orleans in the 1900s (decade). The theatrical show Dinah brought the Black Bottom dance to New York in 1924, and the George White's Scandals featured it at the Apollo Theater in Harlem 1926 through to 1927. The dance became a sensation and ended up overtaking the popularity of the Charleston, eventually becoming the number one social dance.
The Shim Sham Shimmy, Shim Sham or just Sham originally is a particular tap dance routine. The Shim Shim is 10 phrases of choreography (each phrase lasting four 8-counts).
In the late 1920s and the 1930s, at the end of many performances, all of the musicians, singers, and dancers would get together on stage and do one last routine: the Shim Sham Shimmy. Tap dancers would perform technical variations, while singers and musicians would shuffle along as they were able.
The Ziegfeld Follies were a series of elaborate theatrical productions on Broadway in New York City from 1907 through 1931. The Follies were lavish revues, something between later Broadway shows and a more elaborate high class Vaudeville variety show. Inspired by the Folies Bergeres of Paris, the Ziegfld Follies were conceived by Florenz Ziegfeld.