Dear Ms. Henderson,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Population Schedules for the 1790 Census, the Population Schedules for the 1800 Census, the Population Schedules for the 1810 Census, the Population Schedules for the 1820 Census, the Population Schedules for the 1830 Census, the Population Schedules for the 1840 Census, the Population Schedules for the 1850 Census (including Slave Schedules), the Population Schedules for the 1860 Census (including Slave Schedules), the Population Schedules for the 1870 Census, and the Population Schedules for the 1880 Census in the Records of the Bureau of the Census (Record Group 29) that may contain information about a Hiburn in Georgia. For access to the non-digitized schedules, please contact the National Archives at Washington, DC - Textual Reference (RDT1) via email at firstname.lastname@example.org.
Even though the census before 1850 only listed the head of the household by name, and the rest of the family members by sex & age, you can often use that information along with comparing the names of neighbors between each census schedule to infer the correct household for prior years. Other free white persons and enslaved persons were listed in categories by age and gender.
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.
You may wish to search Ancestry.com or FamilySearch.org for the U.S. Census. There may be a fee for using Ancestry. Instead, check for access at your local library as many library systems subscribe to these sites, making them free for their patrons.
We also suggest that you search the Chronicling America: Historic American Newspapers for possible information on Hilburn, as during the slavery period owners often advertised in newspapers about their runaway and fugitive slaves in hopes that citizens, or bounty hunters would would find and return their "property" usually for a reward.
We suggest that you contact the Georgia Archives to inquire about personal property tax lists, business ledgers, or other papers on Hilburn that may include information you seek about enslaved persons. And we suggest that you search the FamilySearch index for Georgia Births and Christenings, 1754-1960, review the FamilySearch Research wiki for Georgia Colonial Records and review the document Federal Records that Help Identify Former Slaves and Slave Owners.
We hope this is helpful. Best of luck with your research!