LOL - - well, I don’t have anything specific for Tishomingo County, but there were Unionists thereabouts. Mississippi, like every Confederate state except South Carolina, had a regiment in the Union army. Also, there were far more “leave-aloners” than volunteers — “leave-aloners” being of Unionist or anti-slavery sentiments who wanted no part of the fight. This is why the Confederacy depended so heavily on conscription to fill its military ranks.
I had one ancestor living in Missouri who served in a Union outfit--his brother was a Confederate. Another direct ancestor was a Confederate.
I just learned that a second cousin, four times removed, is one of the Union soldiers buried at Arlington National Cemetery. (Most of my relatives with his surname were Confederates, but he was from Ohio.)