Ken,
Had the right reasoning, wrong map. Wikipedia (I know, don't even start) shows a map of the battle of Franklin showing French's Div. (w/ Sears' brigade) coming into Rielly's XXIII Corps, 2nd Div.,1st Brigade (w/ the 104st Ohio) on the Confederate right. From there, the connection gets a little tenious. Admittedly, the flag could just as well be from Cockrell's Brigade, but a fellow can hope, right?