Alexander played in theater orchestras accompanying silent films in the early 1920s. Later that decade he moved to Chicago and found work touring with the band of J. Rosamond Johnson. Following this he played with Baby Dodds and Johnny Dodds; he and Johnny formed a trio with bassist Bill Johnson in 1928. He also played in Johnny Dodds's Washboard band alongside Lil Hardin on vocals.
Later in his life Alexander settled in California.
- Rye, Howard (2002). "Alexander, Charlie". In Barry Kernfeld. The new Grove dictionary of jazz, vol. 1 (2nd ed.). New York: Grove's Dictionaries Inc. p. 27. ISBN 1561592846.
- Lefferts, Peter M. (2012). Black US Army Bands and Their Bandmasters in World War I. University of Nebraska Lincoln. p. 41.
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