On www.FindaGrave.com I found a memorial headstone for John and Nancy Thurman, and Barnabas and Sarah Moon Thurman in the Stafford Cemetery in Sevier County, TN.
See the photo here: http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=32452022
The note below the picture said that Sarah Moon is believed to be the daughter of John Moon of Sevier County.
John Moon is one of my husband's ancestors, though I did not know that Sarah was his daughter. Some searching turned up some other interesting information about Sarah.
Sarah's daughter Elizabeth Thurman married Jesse Stafford about 1837 in Sevier County. When Barnabas and Sarah died, Jesse Stafford became guardian of his wife's minor siblings and helped settle the estate of his in-laws.
This information seemed important because when John Moon's son William died, Jesse Stafford became guardian of his minor heirs and helped to settle his estate also. Perhaps this indicates a family relationship of sister and brother between Sarah and William if Jesse Stafford was related to them both.
Some emails sent to Thurman/Stafford researchers turned up no definite proof of a connection, but a likely relationship.