The radical party in the South was the Breckinridge ticket or Southern Democrats since they split from the traditional Democratic Party. As you said the Bell-Everett or Constitutional Union ticket were Whigs, Douglas held on to the traditional National Democratic Party.
Winston with 47% against the radical party
To the east- Blout- 44% against the radical party
To the south- Walker- 47% against the radical party
To the NE- Morgan- 55% against the radical party
To the N- Lawrence- 74% against the radical party
To the NW- Franklin- 56% against the radical party
To the west- Marion- 20% against the radical party
To the SW (with a section of Walker in between) - Fayette- 23% against the radical party
To the south (with walker inbetween)- 46% against the radical party
State wide, Alabama rejected the radical party by 45%, in Mississippi it was 40%. In the Pineywoods region of Mississippi, the rejection of the radical party was the complete opposite of the region surrounding Winston County, Alabama; the average in the Pineywoods being about 25% rejection, from 35% in Perry County with the lowest at 11% in Marion County.
Rejection of the radical party and acceptance of secession within any county (which were influenced by chronological events) are not fully related but do show an outline of thought and interest. The more pro-union North Alabama stands in contrast to the Pineywoods of Mississippi in the presidential election returns of 1860.
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David Upton