Dear Jeffrey Brock:
Thank you for posting your request on History Hub!Our website is a great place to start to learn about doing genealogical research. Some helpful links are:
Vital Records (birth/death certificates, marriage licenses, etc.) are not considered Federal records and are not kept by the National Archives. Please refer to local jurisdictions for these records. For more information see https://www.archives.gov/research/vital-records.
Since you mentioned your grandfather worked for the Federal Government and may have served in the military, you may wish to request his personnel file. Information about those files are below. We did search our catalog for Brock William Alphonzo Smith, but found no responsive results.
Civilian Personnel RecordsOfficial Personnel Files (OPFs) and medical information for individuals who worked for the U.S. government in a civilian capacity prior to 1952 are in the custody of the National Archives at St. Louis
P.O. Box 38757, St. Louis, MO 63138. Please include full name used during Federal employment, date of birth, Social Security Number (if applicable), name and location of employing Federal agency, beginning and ending dates of Federal Service. For more information, the web site is http://www.archives.gov/st-louis/archival-programs/civilian-personnel-archival/index.html.
Military Personnel Records
Official Military Personnel files (OMPF) are in the custody of NARA's National Personnel Records Center in St. Louis, MO. Below is a GSA Standard Form 180 which you should complete and mail to NARA's National Personnel Records Center, (Military Personnel Records), 1 Archives Drive, St. Louis, MO 63138-1002.
For a complete copy of a personnel file, in Section II, on the line for "Other" (Specify), write "Complete copy of every page of personnel file - not an extract."
For information regarding access to medical records please visit http://www.archives.gov/st-louis/military-personnel/public/general-public-clinical.html.
For more information concerning our military holdings please visit http://www.archives.gov/research/military/veterans/.
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 RRPO (The National Archives at St. Louis). Also, NPRC will continue servicing requests ONLY associated with medical treatments, burials, and homeless veterans seeking admittance to a homeless shelter. If your request is urgent, please see Emergency Requests and Deadlines. Please refrain from submitting non-emergency requests such as replacement medals, administrative corrections, or records research until NPRC returns to pre-COVID staffing levels. Please check archives.gov/veterans for updates to the NPRC operating hours and status. We apologize for this inconvenience and appreciate your understanding and patience.
We hope this information assists you with your family research!