I have collected the following on Frank Offutt:

Booth (1920) Records of LA Confederate Soldiers – Vol 2, page 18
Offut, Frank, Pvt. Co. A, 2nd La. Cav. En. Aug. 18, 1862, Opelousas, La. Rolls from Sept. 14, 1862, to Aug., 1863, Absent on furlough.

National Archives (NARA M320) – 5 cards
1. Summary Card – Name, rank and Company (Capt Thompson’s – Co A)
2. Muster Roll dated Sept 14, 1862: Enlisted Aug 18, 1862, Opelousas, LA by Col. W G Vincent for the war – Absent on furlough
3. Muster Roll Dec 31, 1862 to Feb 28, 1863: Enlisted Aug 18, 1862, Opelousas, LA by Capt Thompson for the war – Absent on furlough
4. Muster Roll July & August 1863: Enlisted Aug 18, 1862 at False River, LA by W G Vincent for the war - Absent, sick furlough
5. Indicates Offutt, FK included in Frank Offut file

NARA M347 (Unfiled Papers and Slips Belonging in Confederate Compiled Service Records) NARA Catalog Id: 2133276 – 1 Card
1. Indicates service in the Louisiana Militia, unit unnamed and no date

NPS-CWSS (http://www.itd.nps.gov/cwss/soldiers.cfm)
Private, Company A, 2nd Louisiana Cavalry (Film M378, roll 22)

1860 US Census, St Landry Parish, Louisiana – NARA M653_424, page 997, image 375 (Original St Landry Parish census page 291) – Post Office of Grand Coteau
1. Listed as Franc K Offatt – 21 y.o. (Born 1839), with father William and 7 siblings

Louisiana Marriages, 1718-1925 [database on-line]. Provo, UT, USA: Ancestry.com Operations Inc, 2004.
Original data: Compiled from a variety of sources including original marriage records located in Family History Library microfilm, microfiche, or books. Original marriage records are available from the Clerk of the Court where the marriage license was issued. http://www.

Married Simonia Taylor on 31 October 1861, St Landry parish, LA

I did try to get a bit more but am having a problem with my search system today. If you have any information about Frank Offutt's service in the 2nd Louisiana Cavalry, I would be very interested in talking to you about it.

With best regards

Don Parker