Hi Caroline, I am a descendant of Aaron Burleson I and have been tracing the family through numerous generations. What I have found is that Aaron was most likely from Durham rather than Wales England. Also have found other sites that say Edward of CT and Aaron were brothers, but I have not been able to validate their parents. I have one record that shows Edward D as the father of Edward, but no Aaron. Do you have anything on the parents of Edward or Aaron?
Note that it appears Aaron came to VA while Edward and his line started in CT. Therefore, there are two lines of Burlesons; southern and northern. The southern branch stayed along the Mason Dixie line all the way to Texas (my lineage).