According to the CWSSS at http://www.itd.nps.gov/cwss/soldiers.htm
JF Cross was a private in Co F, 29th TN Infantry. There was also a David H, M V, and William A Cross all in the same company. William was a 1st Lieutenant, the rest privates.

It also states

" 29th Regiment, Tennessee Infantry

29th Infantry Regiment was assembled at Henderson's Mills, Greene County, Tennessee, in September, 1861. Its members were raised in the counties of Bradley, Polk, Claiborne, Hancock, Hawkins, Greene, and Washington. The unit took part in the conflicts at Fishing Creek, Munfordville, and Perryville, then was placed in P.Smith's, Vaughan's, and Palmer's Brigade, Army of Tennessee. During September, 1864, it was consolidated with the 11th Regiment. It participated in the various campaigns of the army from Murfreesboro to Atlanta, was involved in Hood's winter operations in Tennessee, and fought in North Carolina. In January, 1862, the regiment reported 493 present for duty, sustained 29 casualties at Fishing Creek, and lost fifty-one percent of the 220 at Murfreesboro. It had 71 disabled at Chickamauga and in December, 1863, totalled 236 men and 173 arms. Only a remnant surrendered in April, 1865. The field officers were Colonels William P. Bishop, Samuel Powel, and Horace Rice; Lieutenant Colonels Reuben Arnold and John B. Johnson; and Majors Absalom K. Blevins and Samuel L. McKamy."