By the way, typically the far left and/or far right companies were deployed as skirmishers in a regiment, so given that Company F was previously sent out in the direction of the left front of the regiment, odds are that it had been the far left company in the regiment. If the last reorganization of the regiment occurred just prior to the battle, we should expect to find Company F's captain was second in order of seniority. But that kind of accuracy is probably not possible to establish with high confidence unless supported by a primary source(s).
As noted, many regiments stuck with the original order, leaving Company C as the color company, but there are apparent instances of a subsequent reorganization being fixed for the duration of the war. For example, in the 8th Georgia, Company E was the color company throughout the conflict, according to a member of that command.