I presume you mean Brice's Crossroads and probably not Parker's Crossroad. The 7th was in the fight at Brice's with Gen Forrest.

http://www.tngenweb.org/civilwar/csacav/csaduck.html
7th (JACKSON'S-STOCK'S-DUCKWORTH'S)
TENNESSEE CAVALRY REGIMENT
Also called First Tennessee Cavalry Regiment

http://7tncav.org/History7thtennessee.html
includes this bibliography:

Seventh Tennessee Cavalry- Lindsey's Military Annals of Tennessee- 1888

*History of the Seventh Tennessee Cavalry-J.P. Young- 1905

Notes of a Private- Milton Hubbard- St. louis- 1909

The Civil War Reminiscences of John Johnston- Tennessee Historical Quarterly- 1954

Letters of John Aden- Civil War Collection- microfilm-ms 73-100

Reminiscences of a Scout, Spy, and Soldier of Forrest's Cavalry- William Witherspoon- Jackson, Tn.- 1910

Letters of Emmet Hughes- from As They Saw Forrest- Robert Henry- McCowat Mercer Press- Jackson, Tenn.- 1956

*At this website
http://books.google.com/books?id=Q4IvAAAAYAAJ&pg=PA17&lpg=PA17&dq=History+of+the+Seventh+Tennessee+Cavalry-J.P.+Young&source=bl&ots=pKZcdnCvjO&sig=rVfMD6OPtcSR_V8-O2MmY3CJDHg&hl=en&sa=X&ei=EquZU4qeL-rQsQSb14DgDg&ved=0CDIQ6AEwAg#v=onepage&q=History%20of%20the%20Seventh%20Tennessee%20Cavalry-J.P.%20Young&f=false

From Fold 3:
Albert Hicks
Enlisted June 6, 1861 at Memphis in Ballentine's Company which was later known as:
Co F, 6th Bn Tn Cav
Co C 1st Regt Tn Cav
Co C 7th Tn Regt Cav

Appears on muster roll for Jan/Feb 1864 as 3rd Sgt marked present
Same for March/April 1864

Appears on a register of prisoners at war at Memphis -deserters from Rebel Army with this description:
Date: March 6, [looks like 1864]
Residence: Fayette Co, Tn
Complexion: fair
Hair: [looks like dark]
Eyes: blue
5 ft 7 in tall
Age: 27

History of the Seventh Tennessee Cavalry-J.P. Young can be found at the web site shown above, and can provide many more details of the exploits of this regiment.