Yes, dozens of east Tennesseans were hanged simply for loyalty to the old flag. Thirty-one thousand Tennesseans served with Union forces. I am reading now "Shrouds of Glory" which indicates that several units of loyal Tennesseans and Kentuckians played a role in wrecking Hood's army outside Nashville.
If you attend a University of Tennessee football game, you'll hear the band play a flourish based on "Rally 'Round the Flag" after a good play .
Walt
Here is one specific instance. One of my mother's relatives was a farmer near what is now Johnson City, Tennessee. He was a Unionist and some of Isham Harris's men killed him for it in April 1861.