Statistics for occurrence #1 of “Col. Ed. C. Cook” in chapter 5 of James D. Porter, Confederate Military History, a library of Confederate States Military History: Volume 7.1, Tennessee:

...th Tennessee, Col. J. B. Palmer; the Twenty-sixth, Col. John M. Lillard; the Forty-fifth, Col. A. Searcy; the Twenty-eighth, Col. P. D. Cunningham, and Moses' battery. (The Thirty-second Tennessee, Col. Ed. C. Cook , of this brigade, was on detached service.) The Twentieth Tennessee regiment, Col. T. B. Smith, and the Tennessee battery of Capt. E. E. Wright were in Gen. William Preston's brigade of Breckinri...
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