Bunting is not one of my family names. They were associated with some Taylor families in Edgecombe Co. and probably Norfolk County, VA. In my early research, maybe 20 years ago, I was trying to sort the different Taylor families and took some notes for the Bunting family, also the Joyce family. I was born and raised in Edgecombe Co. but spent most of my life in the Norfolk area.
Right now I am on an old computer and most of my notes are on another computer. What I have in front of me:
In Norfolk County, a Mary Joyce married a Bunting man before 1752. Mary was daughter of John Joyce who died about 1752. John had a son, Martin who moved to the Edgecombe/Pitt Co. area of NC.
Lawrence Buntin died about 1872 and there are some notes for him in the NC Archives loose estate records. Unfortunately, my notes indicate I didn't read them. I did make a note that there were about 30 pages of notes, but some pages may have been only a line or two. Those pages MAY be available on familysearch.org.
Most of my early notes are on the Edgecombe County Archives site, address at bottom. There are several deeds that mention Lawrence in them. Let me know if you have trouble with that and I will do a "search" of my deed file.