Generally, it followed the railroad lines. New York and Philadelphia attracted Blacks from the Carolinas and Virginia, in Chicago they came largely from Mississippi, while those from Louisiana and east Texas went to California etc.
It would be interesting to see stats for state of birth for the Black population say in 1970 for various cities.
To continue your point, African Americans in Michigan and Ohio generally came from Tennessee.
Tennessee didn't have a large enough A-A population to make that true, however there was a large migration of Appalachian whites to Michigan and I assume Ohio too.
