Gene,
I was unable to find an "F. Shaw", as well; however, I did find the following gentlemen with the middle initial "F".
Hope this helps:
Last Name First Name Unit Sub Unit Rank
Shaw, David F. 189th Mil. Co.C
Shaw, David F. 22nd Inf. Co.C
Shaw, John F. 29th Inf. Co.C/2nd Co.F Cpl.
Shaw, J.F. Hvy.Arty. Wright's Co.
Both the 22nd and 29th Virginia Inf. had men from modern-day West Virginia. Company C of the 22nd Infantry the "Mountain Cove Guards" was from Fayette County.
Jim Martin