Hi Pam,
Here's a little more info. I was not find much for the 9th Missouri Infantry (US), which William Buckner lists on his pension application. Apparently, this unit was short-lived and became part of the 59th Illinois Infantry. Here is information from DYER'S COMPENDIUM OF THE WAR OF THE REBELLION.
Jim Martin
9th Missouri Regiment Infantry
Organized at St. Louis, Mo., July 6 to September 6, 1861. Attached to Fremont's Army of the West to February, 1862. 2nd Brigade, 3rd Division, Army of Southwest Missouri, February, 1862.
SERVICE.---Companies "A," "B" and "C" at Cape Girardeau, Mo., from August 16, 1861. Regiment moved to Jefferson City, Mo., September 21, 1861; thence to Booneville, Mo. Fremont's advance on Springfield, Mo., October 13-November 3. March to Syracuse, Mo., November 9-17; thence to Lamine River December 7, and to Georgetown December 15. To Lamine Bridge December 23, and duty there until January 25, 1862. Advance to Springfield, Mo., January 25-February 11. Regiment transferred to Illinois and designated 59th Regiment Infantry February 12, 1862. See 59th Illinois Infantry.