2nd Company B was from Rapides Parish.
A suggestion is to use the Civil War Soldiers and Sailor's System - http://www.itd.nps.gov/cwss/
This will give you a good first look. It lists 1978 names, but they are broken down by Company. Please note, some of these may be doubled up ones, same person is listed twice let's say, one with and one without a middle name.
I am fairly certain I have seen a web site to such a rooster, but just don't know what it is. Am sure someone else reading this board may have
JIMT