Bryce,
Wish you had put just a touch more information in your question, but I'm going to hazzard a guess based on what you did write.

1st - different name spelling BOWYER
2nd - Confederate

with the following result from NPS-CWS&SS:

William B. Bowyer
Regiment Name 2nd Virginia Cavalry
Side Confederate
Company C - Botetourt Dragoons, organized at Fincastle
Soldier's Rank_In Blacksmith
Soldier's Rank_Out Private
Film Number M382 roll 6

2nd Regiment, Virginia Cavalry
2nd Cavalry Regiment completed its organization at Lynchburg, Virginia, in May, 1861. Its companies were recruited in the counties of Bedford, Campbell, Botetourt, Amherst, Franklin, Appomattox, and Albemarle. Until the end of October the unit was called the 30th Regiment Virginia Volunteers. During the war it was brigaded under Generals B.H. Robertson, F. Lee, Wickham, and Munford. The 2nd Cavalry saw action at First Manassas, in Jackson's Valley Campaign, and at Groveton Heights, Sharpsburg, Fredericksburg, Kelly's Ford, Chancellorsville, Brandy Station, Aldie, Upperville, Gettysburg, and Shepherdstown. After the Bristoe and Mine Run campaigns, it was involved at The Wilderness, Todd's Tavern, Spotsylvania, Haw's Shop, and Cold Harbor. It fought in the Shenandoah Valley with Early and later in numerous conflicts around Petersburg and Appomattox. The regiment contained 676 men in July, 1861, lost twenty-eight percent of the 163 engaged at Groveton Heights, and of the 385 at Gettysburg about four percent were disabled. At Appomattox it cut through the Federal lines and disbanded at Lynchburg on April 10, 1865. However, 19 men were included in the surrender. The field officers were Colonels Thomas T. Munford and Richard C.W. Radford, Lieutenant Colonels Cary Breckinridge and James W. Watts, and Major William F. Graves.

There were two (2) other BOWYER's in this regiment:

George S. Bowyer
Regiment Name 2nd Virginia Cavalry
Side Confederate
Company C - Botetourt Dragoons, organized at Fincastle
Soldier's Rank_In Private
Soldier's Rank_Out Private
Film Number M382 roll 6

James Hubbard Bowyer
Regiment Name 2nd Virginia Cavalry
Side Confederate
Company G - Radford Rangers, Bedford County; enrolled at Forest Depot & mustered in at Lynchburg
Soldier's Rank_In Private
Soldier's Rank_Out Private
Film Number M382 roll 6