Do you have a location in Alabama? Alabama revenue law states that if your business is located in Alabama then you must collect county and citi taxes only for the county that you are selling from. If I had mulitiple locations in different counties then I would have to collect taxes from those two counties only if someone lived in one of those counties.
Side note, I do not live inside of the city limits so I am not required to collect city tax even if the customer does live in the city limits. That comes directly from the revenue office of Alabama and the city tax office.