Hi Tom,

There are no "local designations" for any unit by this name listed in "A Guide to Virginia Military Organizations" by the late Lee Wallace.

Several possibilities for other states exist in the Official Records under "alternate designations":

Austin's (John P.) Cavalry. See Kentucky Troops, Confederate, 9th Regiment.
Austin's (James E.) Infantry. See Alabama Troops, Confederate, 32nd Regiment.
Austin's (J.E.) Sharpshooters. See Louisiana Troops, 14th Battalion.
Austin's Artillery. See Arkansas Troops.