Jamie,
This one article about the "Avengers of Fort Pillow" is not sure evidence that it did occur, it is the first and only one I've found on this particular incident. Although there are hints there are more articles printed by the same paper on more.
Please let me invite you to read the Alice Williamson Diary, of the atrocities she wrote about committed by Union forces in Gallatin, Tennessee against the people there.
http://scriptorium.lib.duke.edu/williamson/
_______________________
David Upton