Hello Hugh and all,
In further researching the 51st AL PR, I found the following which may be of interest related to the whereabouts of the 51st on the date(s) in question.
The proximity of Fosterville, where the report below was made, to Franklin, near which Crittenden Dunaway was reportedly captured is notable.
Regards, Penny
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http://www.civilwarhome.com/51alacav.htm
The Fifty-First Alabama Cavalry

The Fifty-first Alabama cavalry regiment, known as Partisan Rangers, was recruited by Col. John T. Morgan, who had entered the war as a major of infantry, served for a time in Virginia, and returned home to raise a mounted regiment. It was sent to Alabama, served for a time in Tennessee, fought at Lavergne with General Forrest; was then attached to Wheeler's cavalry, and was brigaded under Morgan, Hagan and Allen. It took part in the Sequatchie raid, and was part of the force which captured 400 Federals at Maysville, and took part in the investment of Knoxville. It took a gallant part in the Stone's River and Chickamauga campaigns; was on Johnston's flank during the retreat to Dalton, fighting almost daily for three months, and lost heavily at Decatur and Jonesboro. It moved through Tennessee, and harassed General Sherman's forces very effectually in the Carolinas. About a week before the close of hostilities, it fought and captured a portion of the First Alabama United States regiment and finally surrendered at Raleigh, N. C.

Col. John T. Morgan was commissioned brigadier in November, 1863, and was for some time in command of a division and served with Generals Hood, Longstreet and Johnston. After the close of hostilities he returned to the profession of law, and in 1877 was sent to the United States Senate, of which body he has long been one of the most able and distinguished members. He was succeeded in command of the regiment by the gallant Lieut.-Col. J. D. Webb, who was mortally wounded near Decherd, Tenn., in July, 1863. Captain Battle was in command for a short time, and Capt. M. L. Kirkpatrick, who took command during the Chickamauga campaign, continued to lead the regiment until the close of the war.

Extracts From official War Records
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Vol. XXIII, Part I--(28) Near Fosterville, February 1, 1863, report of Capt. L. W. Battle, Company B.
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Bookmark for this book:
http://cdl.library.cornell.edu/cgi-bin/moa/moa-cgi?notisid=ANU4519-0034

The war of the rebellion: a compilation of the offical records of the Union and Confederate Armies. / Series 1, Volume 23 (Part I)

Page 27 (image 43 of 978, Cornell)
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No. 3
Report of Capt. L. W. Battle, Fifty-first Alabama Cavalry.

CAMP NEAR FOSTERVILLE, TENN.

February 1, 1863.

COLONEL: In compliance with orders received from you, I have the
honor to submit the following report of the attack upon our forces at

Page 28 (image 44 of 978, Cornell)

Middleton by the cavalry of the enemy upon yesterday, the 31st
ultimo:

The enemy attacked and drove in the pickets in front, following im-
mediately after the few who reached camp. They (the enemy) approached
within about 100 yards and came to a halt. Colonel [De Witt C.] Douglass
gave the order for the officers to cause their men to mount and form the
companies. The horses were all unsaddled, except those of Captain
[Nathan] Carter's company, which company was mounted and formed,
as it was in the act of being mustered. Instead of the men forming,
they mounted their horses and scattered in the wildest confusion, being
pursued by the enemy 4 miles.

In the mean time some of the officers attempted to rally the men for a
stand, but without avail. From the best information that I have been
able to obtain, the attacking party consisted of about 120 cavalry. Colo-
nel Douglass and a number of his men were captured, and several wagons
that were out foraging were burned. A small party of the Eighth Con-
federate and Fifty-first Alabama Regiments was collected upon the wood
[road], turned upon the enemy, and pursued them through Middleton,
the enemy retreating rapidly.

All of which is respectfully submitted.

L. W. BATTLE,

Captain Company B, Fifty-first Alabama Regiment.

Col. W.B. WADE,

Commanding Brigade.