Yes I think they were at Vicksburg plus if you go up on Missionary Ridge in Chattanooga TN you will find them listed on one of the markers. Next they were at Resaca...next at Kennesaw and Atlanta..now my question is did they go with Hood back to Tennessee but what happened to them afterwards. Did they finally give it up with Johnston in NC. Several years ago I was looking for my grand parents graves in Phoenix City, Ala at a very old cemetery over looking Columbus, GA when I can across a very old grave head stone. The writing on the head stone said this soldier had fought with Max Van Corput's Cherokee Battery.
After taking part in the Tennessee Campaign, what was left of the battery was apparently captured in the Battle of Salisbury, NC on April 12, 1865.
Some information of the battle of Salisbury here: