BRITTON is one of my family names, my ancestors go back to Fermanagh Ireland, my oldest ancestor being Catherine BRITTON b abt 1780. Have you considered doing a DNA test? If Cole is a male name, you could do the ydna test and connect back down the male DNA line which may help you connect to other Brittons with the same lineage. From my point of view I would love all BRITTONs out there to also do the Family Finder test, and hopefully connect up with me as a cousin!! Check out the familytreedna website for more info.
www.familytreedna.com