Thank you for posting your question on History Hub.
The Federal Government does not ordinarily create or maintain birth, adoption, death, marriage or divorce records. Such records are made and kept by State and local governments rather than the National Archives. We suggest searching substitute record sources such as probate records, church records, and newspaper records that may uncover more information about the parents of Thomas H. Jones.
The vast majority of records in our collection are not name-searchable. For more information on conducting genealogical research within our records, please visit our webpage: https://www.archives.gov/research/genealogy.
We suggest that you review the FamilySearch Research wiki for Tennessee Vital Records. We also recommend contacting the Tennessee State Library and Archives to inquire if they have additional family records.
We hope this information is helpful in your research.
The National Archives and Records Administration