I was thinking of Hancock-and-Glascock the other day, but couldn't quite tell whether they actually bordered each other or not.
I looked up twelve different county maps of Georgia; eight had them unambiguously bordering, and four (including our own) were unclear either way. None had them unambiguously not bordering. And Wikipedia says that they border each other. So I'm satisfied.
And it would be interesting to know the history of why Glascock County ended up overwhelmingly white while its surroundings are demographically mixed (or overwhelmingly black in the case of Hancock).
It's a small county in a region with extreme racial segregation. My guess would be that it's so small that it happens just by chance to encompass a white area without any black areas.