I believe that the the Jacob Cocklereese that you mentioned moved to Sumner Co., TN might be an ancestor of mine.
The information that I have is not verified, as I received it from another source. I am the great-grandaughter of Virginia "Virgie" Tennessee Harrison. I believe that she is the great-grandaughter of Jacob Cocklereese.
He was born in 1792 in NC and died in 1838 in Sumner Co., TN. He was married to Lucretia "Creasy" Jackson(born in 1796 in NC). They had a daughter, Caroline Reese(1825-1893)(name change?). She married James Bradley in 1854 in Macon Co., TN. They had a daughter, Mary Ann Bradley(1856-1925), who married James S. Gregory on Oct. 2, 1872 in Sumner Co., TN. One of their children was my great-grandmother, Virginia.
Any information you have on the family would be greatly appreciated.