Found on the interent:

"Beard, John Taylor - had lived in Burnet County for 34 years at the time he applied for a pension in 1914. He was born in Pike County, Mississippi in 1848 and enlisted in the Army in 1864, serving in the infantry, Company F, McNulty's Regiment. He surrendered at Brookhaven, Mississippi at the end of the war. John Beard lived in Fairland and was a farmer at the time of his pension application, with personal property valued at $430 and real estate valued at $650. He died 30 May 1925 in Austin at St David's Hospital from prostate and kidney disease. At the time of his death, his wife, Callie Beard, stated her address was Manor, Texas. John Beard is buried in the Old Burnet Cemetery. Source: Pension file from Texas State Archives and Burnet County Cemetery Records, 1852-1982. (JM, Feb.2000.)"

A William M. McNulty was Capt. of Company E of the 3rd Battalion Mississippi Infantry according to Soldiers and Sailors site. The only 3rd Battalion Miss. Infantry that I can identify is Burgin’s 3rd Battn. Miss. Infantry Minute Men. This battalion was serving the Confederate Army, answering to Confederate officials, but was a Miss. State service unit that was never (at least as of Jan. 1863) mustered into Confederate service. They served at Vicksburg and Columbus, Miss. posts.