In addition to the website Alan presented, these two documents only, appear to provide information on the 4th Tennessee.

Lindsley, John B., ed. The Military Annals of Tennessee: Confederate. Nashville, TN: Lindsley, l886. pp. 183/95

Tennessee. CW Centennial Comm. Tennesseans in the Civil War: A Military History of Union and Confederate Units.... Vol. 1.
Nashville, TN: By the Comm, 1964. pp. 182/84.