I haven't been to West Virginia in a while, but I recall that in the Virginia primary back in February, there were these results in some Southwest Virginia counties that border on West Virginia:
Buchanan County - Clinton 89.91%, Obama 9.09%
Tazewell County - Clinton 78.32%, Obama 19.22%
I don't expect Obama to do much better in Logan County or Mingo County, but maybe he will in Raleigh and Mercer counties. That's as far as my crystal ball goes.
My link went bad, but this is still a great story, about the county official who supposedly asked for $3,500 for the 1960 West Virginia primary and got $35,000 from the Kennedy campaign. Another version of the same tale is told here.