Two things, your men lived beyond 1913 and should have a death certificate in the state where they died and it will have parents names.The state charges a small fee for DC's. A death certificate would confirm what I suspect below. Found your Burkett in an 1850 census.HOpe it is the right one.
Name: Burkett F Harrell [Burkett F Harville] Age: 4 Birth Year: abt 1846 Birthplace: Tennessee Home in 1850: North of Cumberland and East of Caney Fork Rivers, Smith, Tennessee Gender: Male Family Number: 135 Household Members: Name Age David Harrell 42 born NCfather Mary Harrell 42TNmother Elizabeth Harrell 17 Eliza Harrell 10 Martha Harrell 8 Wm J Harrell 7 David B Harrell 4 Burkett F Harrell 4TN Reams Harrell 0 James Harrell 67NC (probably David's father
***** from my files.... Direct Descendants of Moses Harwell
1 Moses Harwell aka: Moses Harville b: Bef. 1738 ... 2 Isham Harwell aka: Isham Harvill b: 1758 d: 29 Jul 1813 in Wilkes County, North Carolina ....... +Matilder H. Cast b: Bef. 1763 m: 05 Mar 1781 in Wilkes County, North Carolina Father: James Cast ......... 3 James Wesley Harwell b: 1784 in North Carolina ...........4 Davidabt 1808 ***************
Descendants of James Wesley Harwell
1 James Wesley Harwell b: 1784 in North Carolina .. +Betsy Dickens b: Abt. 1788 in North Carolina m: 27 Jan 1807 in Wilkes County, North Carolina? ... 2 David Harwell b: Aft. 1808 in North Carolina ... 2 William Harwell b: Aft. 1809 in North Carolina ... 2 John Dickens Harwell b: Aft. 1810 in Tennessee ... 2 Lewis Harwell aka: Lewis Harvill b: Oct 1812 in Smith County, Tennessee d: Aft. 1900 in Smith County, Tennessee ... 2 Unknown Harwell b: Aft. 1815 ******
Check with Roger Harvell to see if he has any new info on this family.