May take some time, but you could go thru Booth's using the "find" option on each page. I did it on a page I was on and came up with the following. I don't know enough about the units listed to know where they were at that date.
Will take some time, but...
Sullivan, Cornelius, Corpl. Sergt. Co. B, 10th La. Inf. En. July 22, 1861, Camp Moore, La.Present on all Rolls to Feb., 1862. Report of Death, dated Sept. 1, 1863, Killed at Gettysburg
Sullivan, Cornelius, Pvt. Co. E, 7th La. Inf. En. June 9, 1861, Camp Moore, La. Present on all Rolls to Dec., 1861. Roll Jan. and Feb., 1862, Regtl. Musician, detached. Rolls Jan., 1863, to Aug. 31, 1864. Absent, detailed in La. Hospl., at Richmond, Va., as nurse, Federal Rolls of Prisoners of War, Captured Richmond, Va., April 3, 1865. On Report dated Office Pro. Mar.,Capitol Bldg., Richmond, Va., May 15, 1865, of paroles given prisoners of war, by D. M. Evans,Col. 20th N. Y. Cav., May 4, 1865. Born Ireland, occupation printer, Res. New Orleans, La., age when enlisted 30, single