Would someone in Company F, 19th Infantry Regiment Virginia, likely have been from Floyd Co VA ?
Possible, but not likely.
Co F - Montgomery Guard, Albemarle County; light infantry

NPS-CWS&SS shows:

A.J. Wood
Regiment Name 19th Virginia Infantry
Side Confederate
Company F Montgomery Guard, Albemarle County
Soldier's Rank_In Private
Soldier's Rank_Out Private
Film Number M382 roll 61

19th Regiment, Virginia Infantry

19th Infantry Regiment, organized at Manassas Junction, Virginia, in May, 1861, contained men recruited at Charlottesville and in the counties of Albemarle, Nelson, and Amherst. It fought at First Manassas under General Cocke, then was assigned to General Pickett's, Garnett's, and Hunton's Brigade. The 19th participated in the campaigns of the Army of Northern Virginia from Williamsburg to Gettysburg except when it was with Longstreet at Suffolk. Later it served in North Carolina, returned to Virginia, and was active at Drewry's Bluff and Cold Harbor. Continuing the fight, it was engaged in the Petersburg siege north of the James River and the Appomattox Campaign. It reported 6 casualties at First Manassas and in April, 1862, totalled 650 effectives. The regiment had 138 casualties during the Seven Days' Battles and lost forty-two percent of the 150 in the Maryland Campaign and more than forty-five percent of the 328 engaged at Gettysburg. Many were captured at Sayler's Creek, and only 1 officer and 29 men surrendered. The field officers were Colonels P. St. George Cocke, Henry Gantt, Armistead T.M. Rust, and John B. Strange; Lieutenant Colonels John T. Ellis, Charles S. Peyton, and Bennett Taylor; and Majors Waller M. Boyd and William Watts.

System also shows:

Wood, Alfred T. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, Archer P. Co G Private Private Nelson Grays, Nelson County

Wood, Archer T. Co G Private Private Nelson Grays, Nelson County

Wood, Francis M. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, George W. Co D Private Private Howardsville Grays, Albemarle County

Wood, James F. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, John M. Co K Private Private Blue Ridge Rifles, Hillsboro, Albemarle County

Wood, Lemuel E. Co E Sergeant 2 Lieutenant Piedmont Guards, Stony Point, Albemarle County

Wood, Marion C. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, Marion M. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, Marshall Co I Private Private Amherst Rifle Grays, Amherst County

Wood, R.D. Co B Private 2 Lieutenant Albemarle Rifles, Charlottesville, Albemarle County

Wood, R.W. Co K Private Private Blue Ridge Rifles, Hillsboro, Albemarle County

Wood, Richard B. Co B Private 2 Lieutenant Albemarle Rifles, Charlottesville, Albemarle County

Wood, Richard W. Co K Private Private Blue Ridge Rifles, Hillsboro, Albemarle County

Wood, Robert Co F Private Sergeant Montgomery Guard, Albemarle County

Wood, Robert B. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, Teleman Co I Private Private Amherst Rifle Grays, Amherst County

Wood, W.M. Co A Private 1 Lieutenant Monticello Guard, Charlottesville, Albemarle County

Wood, W.O. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, W.W. Co A Private 1 Lieutenant Monticello Guard, Charlottesville, Albemarle County

Wood, Washington M. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, William C. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, William D. Co G Private O.Sergeant Nelson Grays, Nelson County

Wood, William D. Co K Private Corporal Blue Ridge Rifles, Hillsboro, Albemarle County

Wood, William H. Co D Private Private Howardsville Grays, Albemarle County

Wood, William L. Co E Private Private Piedmont Guards, Stony Point, Albemarle County

Wood, William Nathaniel Co A Private 2 Lieutenant Monticello Guard, Charlottesville, Albemarle County

Co A - Monticello Guard, Charlottesville, Albemarle County, organized 5/5/1857; light infantry; enlisted 4/16/1861, for 1 year; mustered 5/12/1861; reorganized 4/28/1862
Captains: William Barton Mallory [to April 1862]; John C. Culin

Co B - Albemarle Rifles, Charlottesville, Albemarle County; organized Nov.1859; Light Infantry; enrolled 4/16/1861; reported 06/30/1861; mustered 5/12/1861, for 1 year; reorganized 4/28/1862
Captains: Richard Thomas Walker Duke [to Col, 46th Regt Va Vols], Richard W. Wirt, John L. Cochran [apptd 4/28/1862]

Co D - Howardsville Grays, Albemarle County; organized Apr 1861; formerly known as Co "S"; enlisted 4/19/1861, for 1 year; mustered 5/10/1861; reorganized 5/1/1862
Captains: J.J. Hopkins, Josiah Faulkner [apptd 7/1/1861], Richard J. Harlan

Co E - Piedmont Guards, Stony Point, Albemarle County; organized Apr 1860, riflemen; enlisted 4/10/1861, for 1 year; mustered 5/11/1861; reorganized 4/27/1862. Many members reenlisted in Feb 1862, mustered as Heavy Artillery, commanded by Capt Charles S. Peyton, but remained with this regiment
Captains: Charles S. Peyton [apptd 7/1/1861; to Major 9/14/1862], William R. Pritchett, William W. Gross [d. 7/17/1863]

Co F - Montgomery Guard, Albemarle County; light infantry; enlisted & mustered 5/25/1861, for 1 year; reorganized 4/28/1862
Captains: Bennett Taylor, James Davis McIntire

Co G - Nelson Grays, Nelson County; enlisted 5/1/1861, for 1 year; mustered 5/20/1861; reorganized 4/28/1862
Captains: Thomas M. Boyd, Walter M. Boyd [apptd 4/28/1862]

Co I - Amherst Rifle Grays, Amherst County; light infantry; enlisted 4/29/1861, for 1 year; mustered 5/29/1861; reorganized 4/29/1862. Capt Hiram C. Pierce organized a heavy artillery company of re-enlisted men from this company, which mustered 2/20/1862, but was not recognized and the men returned to their former companies
Captains: Richard M. Taliaferro, Hiram Cheatwood Pierce, David S. Waller [apptd 4/28/1862], George W. Henly

Co K - Blue Ridge Rifles, Hillsboro, Albemarle County, organized 11/6/1860; light infantry; enlisted & mustered 5/20/1861, for 1 year; reorganized 4/27/1862
Captains: John A. Rhea, James Garland Woodson [apptd 12/27/1861; K. 6/3/1864]