The Compiled Service Records for the 6th Virginia Cavalry lists these Smiths:

J. V. Smith, John Smith, J. T. Smith,, & J. Rice Smith

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The American Civil War Research Database list these Smiths in the 6th Virginia Infantry, Footnote omitted the 6th Infantry:

John Smith, Co. E
John Smith, Co. I
John E. Smith, Co. H
John H. Smith, Co. E
John M. Smith, Co. F
John W. Smith, Vickery's Co.
Johathan Reynolds Smith, Co. G