Here are some possibilites for your Benjamin F. Jones whom I believe may be one of the B. F. Jones listed in the following two entries
1) Co A. 1st Regiment, Arkansas Volunteers (30 days, 1861)
A poorly formed organization meant to defend Pittman's Ford
More info at http://www.couchgenweb.com/civilwar/1volhis.html
2) 10th Regiment, Arkansas Infantry
JONES, B.F. 2Lt - Enl 20 Jul 1861 at Springfield, AR. Resigned 2 May 1862 and was discharged.
10th Infantry Regiment was organized in July, 1861, at Springfield, Arkansas. Its members were drawn from the counties of Cleburne, Van Buren, Conway, and Perry. The regiment moved to Union City, Tennessee, where 150 men died from the effects of measles. Later it was involved in the conflicts at Shiloh and Baton Rouge, and in October, 1862, contained 249 effectives. Attached to Buford's and Beall's Brigade, Department of Mississippi and East Louisiana, the 10th was part of the garrison that surrendered at Port Hudson on July 9, 1863. After being exchanged, the men returned to Arkansas and were reorganized as the 10th or Witt's Cavalry Regiment. The unit skirmished in Arkansas and on May 28, 1865, requested from the Federals terms under which it could surrender. Its commanders were Colonels T. D. Merrick and A. R. Witt, Lieutenant Colonels S. S. Ford and Luther R. Venable, and Majors C. M. Cargile and Obed. Patty
A third good possibility is the 33rd Arkansas Infantry Regiment.
There is a Benjamin D Jones from Siever county listed, (D's and F's can be hard to differentiate.) in Company D.
The time frame fits for all of these units.
33rd Infantry Regiment, organized during the summer of 1862, contained men from Polk, Montgomery, Sevier, and Pike counties. The unit was assigned to R. G. Shaver's and Tappan's Brigade, Trans-Mississippi Department. It skirmished in Arkansas and participated in the fight at Jenkins' Ferry where 92 men were disabled. Later the 33rd disbanded. Its field officers were Colonel H. L. Grinstead, Lieutenant Colonels H. W. McMillan and Thomas D. Thomson, and Majors W. L. Crenshaw and William T. Steele.
I have him born 1826 Cumberland Ky., Marrying Nancy Samuel on 19 Dec 1847 in Siever Co Arkansas and passing away in Siever County Arkansas 1 Nov 1865 and his will is listed in Will Book F of Sevier, AR pg 8-9. Children include Francis E., 1850 Wiley Pinkney 1852, Harrison T. F. 1855
Harrison T. Jones (born 1828), from the 1850 census living 2 housholds away from Benjamin, appears to have served in the 16th Regiment, Arkansas Infantry.
"16th Infantry Regiment completed its organization at Rogers, Benton County, Arkansas, in November, 1861, then moved to Elm Springs and remained there until February, 1862. Its members were recruited in the counties of Johnson, Carroll, Stone, Washington, Pike, Madison, and Searcy. The 16th was involved in the fight at Elkhorn Tavern and after the battle had 24 officers and 282 men present for duty. Ordered east of the Mississippi River, it took an active part in the conflicts at Iuka and Corinth where it reported 13 killed and 29 wounded. Later the unit was assigned to Beall's Brigade, Department of Mississippi and East Louisiana, and was captured when Port Hudson fell. It was not reorganized after the exchange. The field officers were Colonels J. F. Hill and David Provence, Lieutenant Colonels William T. Neal and Benjamin T. Pixlee, and Majors Samuel Farmer and J. M. Pittman."
Benjamin and Harrison's father was John T Jones, Their mother was Jane Williams born abt 1801 in TN. John married a second time to Mary Lucinda Were on 10 Apr 1845 in Sevier Co., AR.
In 1836 John bought a farm in Sevier Co., AR. In 1863/1864 John and Lucinda traveled to Collin Co., TX to live with his son Granville. In John's will, he gave all of his property to Granville, provided Granville would take care of Lucinda as long as both shall live. He remained with Granville until 1870 when he moved back to Sevier Co, AR to live with youngest son, William. After John died, William petitioned the Sevier Co. court to make him the executor of John's estate. He stated, in the court records, that John died without a will William told the court that his stepmother asked him to be the administer of the estate. He said the property was so small that he needed to settle it before waste and damage occurred. The court appointed William the executor. On 15 Feb 1871, Granville went to Sevier Co., AR and filed a claim against John's estate for $404.20. No one could produce the will that John wrote in Texas. William approved Granville's claim in August 1981.
Hope this helps.
John Russell MD