The quote from the book excerpted by @Roburt above comes from an interview with Retired Overtown Police Lieutenant Otis Davis from Miami's original African-American police force (incorrectly identified as a captain in the first edition of the book). The interview with Sam Moore is the best in the book, and according to the man himself,
"I was actually born in Georgia. And then my mother and
my grandmother and the rest of the family, my aunt, my
cousins, and everybody migrated to Florida. I don’t know
what caused them to come. I was a baby. I was born in
1935. All I ever knew was Miami. I can’t even tell ya about
Georgia, other than maybe my grandma saying she was
going to go visit her mother. I think once or twice she may
have taken me on a train to Georgia. I was a little boy. But
I was raised in Miami...."
Southernsoul's post in Miami Overtown Soul Funk R&B Interviews was marked as the answer