No relation. In my book of Abstract Wills of Edgecombe NC I have one BUNTING listing. No names listed of those you all are searching. Just throwing it in for possible help in your search.
May 16, 1837 Nov. Court 1846 Book F pg. 348 Wife: CREASY, lend 1/3 estate-reversion to MARY BUNTING and WILLIAM BUNTING. Daughter: MARY BUNTING, 1/3 estate. Grandson: WILLIAM BUNTING, son of RICHARD BUNTING, 1/3 estate.
Exr: Daniel Hopkins, Witness: Elisha Porter, Jarrett Hopkins. Exxr: Dec'd Adm. granted Jesse Stancil. Esq. Bond $500.00 Wm. C. Leigh and Elisha Porter, Securities