You can also see the effect of cross-border moves, in places like Kansas City, Kansas; Indiana suburbs of Louisville and Chicago, Kentucky suburbs of Cincinnati, Wisconsin suburbs of the Twin Cities, Washington suburbs of Portland. West Virginia exurbs of Washington. It even shows up in places like the southern tier of New York.
The Great Exodus still shows up very much in tables of state of birth by state of residence. Lots of Deep Southern natives in all the northern inner cities still, and IIRC Mississippi still was in 1990 the no.2 state of birth of Illinois residents overall. Similarly lots of Georgia and Carolinas natives in NYC.