Yes and no. The service file for Captain Graves includes a wealth of documents which outline the service of his company, which dates from Aug. 20, 1863. By my count there are thirty-one. The last is dated Oct. 13, 1864, Talladega, Ala. About this time Major Joseph Barbiere, commanding officer of Supporting Forces for the 4th Congressional District, organized a battalion of independent cavalry companies. Most of these, like that of Captain Graves, had been raised by General Pillow for conscript duty.
Captain Graves reported to Col. Benjamin J. Lea, 52nd Tennessee Regt., commanding District of Northern Alabama, Volunteer and Conscript Bureau. Many of the requisitions submitted by Captain Graves were authorized by Col. Lea, who also served as post commander. Lea was assigned to duty at Blountsville on July 1, 1863. HIs duties included supervision of the rendezvous at Blountsville, Guntersville, Decatur, Gadsden, Tuscumbia and Rome GA. The other officer at Blountsville whose records may reflect on the activities of Captain Graves is Major William B. Jollie, Post Quartermaster.
Major John B. Stuart (not Stewart) organized his cavalry battalion in December 1863. During the period in which there are several documents per month signed by Captain Graves, there is no mention of assignment to any higher command. It's quite possible that men who belonged to this company somehow moved into companies assigned to Major Stuart (there may have been eight at some point), but the company of Capt. Graves evidently became part of the battalion organized by Major Barbiere (AKA Davenport's Battalion). This battalion along with Hardie's resisted Wilson's advance from Elyton and Montevallo south to Selma in April 1865.
The requisitions signed by Captain Graves place his company in Blountsville during different times, but just as often it was elsewhere. I find no evident that this was a militia company reporting to state authorities, or any kind of home guard or local defense command. The company was supposed to include only exempts and non-conscripts on roll, as fitting for a unit of the Supporting Forces, but "home guards" doesn't describe the service of this command.
Wish I could write more but circusmstances dictate otherwise.