There is a Virginia pension application in the name B. F. West, 26th Virginia Infantry. Believe this is your man as the only
B. West found in the roster of the 26th is that of Benjamin.

See:

http://lva1.hosted.exlibrisgroup.com/F/U8XJY7C9KD7GL8E7E82GQSPJI4EAA5X6AXUUL4FU5LFEFVB9B4-47516?func=find-acc&acc_sequence=004138714

The application is very difficult to read on-line

B. F. West 26th Va. Regiment of Infantry
Schley PO
partially disabled, Rheumatism and Piles
age 60 born in Glouster County
Occupation: Oystering [?]
Filed 1902 ??