If you will list the 13 men with the 60th, perhaps I (or others) can supply some military service and/or biographical information about them.

Here are a few things that may help you:

The book Mr. Helton mentioned, 60th Virginia Infantry by J. L. Scott is out-of-print and is often quite expensive on the secondary market. However, a new copy seems to be available at Morningside Bookshop for the normal price of $25.
http://www.morningsidebooks.com/cgi/bookshop/results.cgi?type=qsearch&userid=144415420&cat=T&query=60TH+VIRGINIA+INFANTRY+&x=16&y=2

The Official Records. May prove difficult to use, but contains much useful information.
http://ehistory.osu.edu/osu/sources/records/default.cfm?CFID=9266829&CFTOKEN=41843235&jsessionid=ea306048e9e46957558953591e43155d5a21

West Virginia Death Records. Many men in the 60th Virginia were residents of what is now West Virginia. Interesting source.
http://www.wvculture.org/vrr/va_dcsearch.aspx

If your kinsmen (or their widows) lived in Virginia postwar, they may have applied for a pension. Files often contain a wealth of information.
http://ajax.lva.lib.va.us/F/?func=file&file_name=find-b-clas10&local_base=CLAS10

Burial information and the occasional photo @
http://www.findagrave.com/cgi-bin/fg.cgi?page=gs&

Compiled Service Records can be ordered at:
http://history-sites.com/research/index.html