You are welcome. I thought that the NARA web page contained the following information about the Confederate records but it does not so here is verbatim information contained in the NARA Catalog of Microfilm Publication "Military Service Records" (1985), pp 83 - 84, Records of Confederate Soldiers Who Served During the Civil War (Record Group 109).
"In April 1865, during the final days of the Civil War, as the Confederata Government evacuated Richmond, its archives were shipped south, burned or abandoned. Some of the military records passed into the hands of Union Army officers and were sent to the War Department in Washington. There the Adjutant General in July 1865 established a bureau in his office for the 'collection, safekeeping, and publication of Rebel Archives.'In 1903 the Secretary of War persuaded the Governors of most Southern States to lend the War Department the military personnal records in their possession for copying.
"These captured and copied Confederate records, as well as Union prison and parole records, were abstracted by the War Department between 1903 and 1927 to compile military service records of Confederate officers, noncommissioned officers, and enlisted men." (These are the "Copiest" signatures or initials found at the bottom of the record card).
There were many records in private hands and some governors published the Secretary of War's request but with mixed responses. Occasionally, a muster roll shows up in contemporary southern genealogical society publications.