According to the 1930 US Census Herman C. Harper's parents were Richard H. Harper (age 37) and Myrtle (age 27). They had been married about 12 yrs. Richard was a farmer.
Richard Harper married Myrtle Derryburg in Calhoun Co, Arkansas on 9 Dec 1917.Arkansas, U.S., County Marriages Index, 1837-1957 - Ancestry.com [Ancestry.com is a subscription website, but you may be able to get free access at your public library).
Myrtle's death certificate contains her parent's names & the county where she was born.:
You can trace the family backwards using US Census and other records to find information about your ancestors.
Dear Ms. Bryant,
Thank you for posting your request on History Hub!
As Ms. Brooks has pointed out, the US Population schedules provide quite a lot of information that is useful for genealogy research. The National Archive has custody of population schedules for the census from 1790 - 1940. Arkansas became a territory in 1819.
We searched the National Archives Catalog and located 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, the Population Schedules for the 1860 Census, the Population Schedules for the 1870 Census, the Population Schedules for the 1880 Census, the Population Schedules for the 1890 Census; the Population Schedules for the 1900 Census, and the Population Schedules for the 1910 Census, the Population Schedules for the 1920 Census, the Population Schedules for the 1930 Census, and the Population Schedules for the 1940 Census in the Records of the Bureau of the Census (Record Group 29) that may contain information about Herman Clyde Harper and his ancestors in Arkansas as a territory and state. The 1940 Census schedules are digitized and available using the Catalog. For more information about the non-digitized schedules, please contact the National Archives at Washington, DC - Textual Reference (RDT1) via email at email@example.com.
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 or FamilySearch for the U.S. Census. There may be a fee for using Ancestry. Instead, please check for access at your local library as many library systems subscribe to these sites, making them free for their patrons.
We suggest that you review NARA’s Resources for Genealogists, as well as the History Hub Blog titled Suggestions and Advice for Family History Researchers. Also, the FamilySearch Research wiki for Calhoun County , Arkansas Genealogy may be useful.
We hope this is helpful. Best of luck with your family research!