In antebellum times state militia included all free white men in certain ages ranges not exempt by reason of physical disability or occupation. Men didn't enroll because they already belonged by virtue of citizenship and residence. Local officers determined dates and places for assembly, drill and patrol duties.
The only company rolls that might exist are those of volunteer militia companies. Unlike regular militia, volunteers assembled much more often for drill and military training, also being uniformed, armed and equipped as soldiers. Ordinarily volunteer companies are found in larger towns and cities only. Farmers didn't have time for that kind of activity.