This topic has been covered many times. I would suggest you try putting in 'Barnett' in the search forum slot for both this site and that of 'Rolfe'.
All kinds of theories, some of which I have made observations on.
I believe that the Barnetts have no connection to Colonist John Rolfe but read the correspondence and decide for yourself.
Not my words but well worth reading if you want to make a good decision re the info on the web sites
"Magazine of Virginia Genealogy", Vol., 25, Nov. 1987, No. 4. pp. 3-13.- JAMES SULLIVAN OF CHARLOTTE COUNTY AND THE PROBLEM OF ENTRENCHED DISINFORMATION- By Carolyn Copeland Bland Genealogy requires analysis as well as research. In this most precise work, mistakes are inevitable, and it is every researcher’s responsibility to question the work of others. The serious genealogist insists on the citation of sources. He goes to the trouble of checking these for accuracy. He weighs conflicting evidence carefully, one source against another. Finally, he must base his conclusions on the preponderance of the evidence. Without this caution, inexperienced researchers are misled sometimes by foolish genealogical claims. Then they go on to repeat these claims in many places and, with amazing success, they build up a crooked structure of ‘disinformation’ which is no small job to dismantl