Here is what Booth's has to say about him - Interesting that he was in jail for mutiny, but promoted with in a year and an half to be an officer.
JIM T

Moore, Frank L., Pvt. Capt. Co. D, 5th La. Inf. En. June 6, 1861, Camp Moore, La. Present on all Rolls to July, 1861. Enlisted as substitute for J. A. Montgomery, June 6, 1861. Roll Sept. and Oct., 1861, Present in guard house since Sept. 21 on charge of mutiny. Roll Nov. and Dec., 1861, Present, promoted from Pvt. to 1st Lt., Dec. 27. Roll Jan. and Feb., 1863, Absent on detached service since Feb. 5. Roll July and Aug., 1862, Wounded in Battle of Manassas, Aug. 29, 1862. Roll Sept. and Oct., 1862, Absent, promoted to Capt. Oct. 4, Rolls Nov., 1862, to Feb., 1863, Present. Roll March and April, 1863, Absent, sick. Roll May and June, 1863, Absent and exempt by Ex. Brd. of Surg. Roll July and Aug., 1863, Absent, sick. Rolls Sept., 1863, to April, 1864, Present. Roll May to Aug. 31, 1864, Absent, detached order of Secty. of War. Occupation steamboatman.