FYI,
Quote from Dunbar Rowland's history. I have another brief history that I will check to see if it provides more details for October.
It was during these night marches that the men were exposed to cold and became sick.
Bonham's Regiment was completed at Memphis, and on September 23{1861} reported to General Polk at Columbus, Ky., where they remained until after the battle of Belmont, Novermber 7, of which they were spectators, without being called into action. After this they were ordered back to Union City, Tenn., and thence marched to Fulton, Ky., the night of October 1. October 6 they went into winter quarters at Camp Beauregard, in Graves County, Ky., and remained there until Christmas, making several expeditions meanwhile to Mayfield and Columbus, and once marching in the night to within six or eight miles of Paducah. There were many sick and a considerable number died, among them Colonel Bonham, of pneumonia, in November. The regiment was reported November 30, 795 present, and a part of the brigade of Gen. John S. Bowen at Camp Beauregard.
After Christmas they were moved to Clarksville, and thence to Bowling Green, December 29, where they were in winter quarters until February 12, when, on account of Grant's advance to Fort Donelson, General Johnston was compelled to retire to Murfreesboro, Tenn. They were at Nashville the day of battle at Fort Donelson and could hear the artillery. The regiment was about 580 strong in January and was brigaded with the Twenty-fifth Mississippi under Bowen.