I was born and raised in the Florida panhandle (folks been there since 1700) and never thought we had much of an accent.
I spent 6 years in Western Kansas and had people constantly ask if I were from Texas due to my accent. After being there for a year or so, we took a trip back to Florida. Stopped in Louisianna and gassed up the car. A black headed cajun woman came out and began to fill the tank. As we stood there chatting, I had the strangest feeling of deja-vu. I know we had never met yet something clicked in my memory. Later I realized that it was being back in the South.
Although a Cajun from Lousianna and a Cracker from Florida have different cultures, they were in fact much closer than one might suspect.