Dear Mr. Beaver,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located Record Books of Executive, Legislative, and Judicial Offices of the Confederate Government in the War Department Collection of Confederate Records (Record Group 109) that includes Records Relating to Confederate Courts-Martial. Some of these records have been digitized and may be viewed online using the Catalog. We also located Confederate Manuscripts in Record Group 109 that includes additional courts-martial records. The courts-martial records in this series are not available online. Please note that due to the circumstances of the Civil War, the federal government may not have acquired all Confederate courts-martial records. For assistance with locating specific cases, please contact National Archives at Washington, DC - Textual Reference (RDT1) via email at Archives1reference@nara.gov.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT1. We apologize for this inconvenience and appreciate your understanding and patience.
Also, we searched the National Archives Catalog and located the series Carded Records Showing Military Service of Soldiers Who Fought in Confederate Organizations in Record Group 109 that includes a file unit titled Confederate Soldiers from the State of Georgia - Beavers, William C - 22d Infantry. This file unit has been digitized and may be viewed online using the Catalog.
We hope this information is helpful. Best of luck with your family research!