William Crickett Smith (February 8, 1881 – August 30, 1944) was an American ragtime, blues and jazz cornetist and trumpeter.
His professional career began in childhood, performing in Nathaniel Clark Smith's Picaninny Band before moving into minstrel troupes, vaudeville and cabaret.
In 1913–1914, he made several early recordings with James Reese Europe's group, the Clef Club Society Orchestra.
Between 1914 and 1919, he performed in the Ford Dabney Orchestra, the resident band at Florenz Ziegfeld's Broadway cabaret, Midnight Frolics.
During the Depression, he spent nine years in Southeast Asia, working with Herb Flemming, Leon Abbey, and Teddy Weatherford, mostly in Bombay and Batavia.