Ala. Code § 11-54-190

The existence of an authority incorporated under the provisions of this article shall prevent the subsequent incorporation hereunder of another authority pursuant to authority granted by the same municipality. Notwithstanding this section, an authority whose membership solely includes county or municipal governments, county or municipal boards of education, or any of their respective boards, agencies, departments, corporations, or instrumentalities, including other commercial development authorities, may be incorporated at any time, regardless of whether another authority exists within the jurisdiction at issue.