Your Charles was in the U. S. Army, not a Confederate

Charles L. Reynolds, age 29, Private, Detachment, Company C, 19th Regiment Tennessee Cavalry, USA, joined for duty and enrolled December 12, 1863 at Louisville, Ky. for 3 years, promoted 1st Sergeant December 31, 1863, promoted 1st Lieutenant and transferred to Company L June 11, 1864, mustered out August 1, 1865 at Nashville, Tenn.

M395: Compiled Service Records of Volunteer Union Soldiers Who Served in Organizations from the State of Tennessee

His company was stationed near White Bluff Station on the railroad line West of Nashville toward Dickson in September, 1864.