Bill, the outfit you're researching is the 4th Battalion Arkansas Infantry, which was separate and distinct from the larger and better known 4th Regiment Arkansas Infantry.

The 4th Arkansas Battalion was organized at Little Rock on November 10, 1861, with five companies from Clark, Prairie, Pulaski and White counties. Capt. Frederick William Hoadley's Co. D was detached from the battalion and was assigned as a heavy artillery battery. It never rejoined the battalion. The remaining four companies continued to serve as infantry.

The battalion was assigned to the defenses of Columbus, Kentucky, then to Island No. 10, where it escaped capture when that place fell in April 1862. It was then sent to Fort Pillow, Tennessee, until after the battle of Shiloh, when it was sent to Corinth, Mississippi, and became part of the Confederate Army of Tennessee. It was assigned to an Arkansas infantry brigade, which became one of the most famous Arkansas brigades of the war -- McNair's (later Reynolds') Brigade. The 4th Arkansas Regiment was also part of this brigade, and the 4th Arkansas Battalion and 4th Arkansas Regiment operated together until after the battle of Murfreesboro, when the battalion, severely understrength because of battle losses, was consolidated into the 4th Arkansas Regiment. The survivors of the battalion served in the 4th Arkansas Regiment to the end of the war.

Here's a list of the battalion's campaigns and engagements (including those fought after the consolidation) --

Island No. 10, April 6-7, 1862.
Farmington, Mississippi, May 9, 1862.
Richmond, Kentucky, August 30 1862.
Murfreesboro, Tennessee, December 31 Dec 1862 to January 2, 1863.
Jackson, Mississippi, July 10, 1863.
Chickamauga, Georgia, September 19-20, 1863.
Dug Gap, Georgia, May 8, 1864.
Resaca, Georgia, May 13-14-15, 1864.
New Hope Church, Georgia, May 29 to June 3, 1864.
Kennesaw Mountain, Georgia, June 27 to July 3, 1864.
Moore's Mill, Georgia, July 19, 1864.
Peach Tree Creek, Georgia, July 20, 1864.
Atlanta, Georgia, July 22, 1864.
Ezra Church, Georgia, July 28, 1864.
Lovejoy's Station, Georgia, August 20, 1864.
Jonesboro, Georgia, August 31, 1864.
Franklin, Tennessee, November 30, 1864.
Nashville, Tennessee, December 15-16, 1864.
Averasboro, North Carolina, March 14, 1865.
Bentonville, North Carolina, March 19, 1865.

..... and a whole slew of lesser engagements and skirmishes.

The Army of Tennessee surrendered at Greensboro, North Carolina, on April 26, 1865.