Looking for info on Eli Branic -- variously spelled, e.g., Brannick, Brannock, etc.

Eli Branic was enrolled in Benton Co. Ark. into company C of Bryan's Battalion Cherokee Partisan Rangers on July 4, 1862. In February 1863, Bryan's Battalion was consolidated with additional companies from the 1st Cherokee Mounted Volunteers to form the 2nd Cherokee Mtd Vols commanded by Col. William Penn Adair. On the roll of June 30, 1863, Branic is on detached service with Lt. Hendrin "on scout with Major Livingston" since April 27, 1863.

Does anyone know what/where Livingston was at the time (April-June 1863)?

Any additional info on Eli and/or others in this company?