The Lawrence County, Alabama Archives has published several indexes of historic records in their possession.
Notable among them are marriage books from 1818 to 1947. A link on the landing page will let you view the database, and once there, you will find a search box in the upper right of the page.
Other collections you may want to check out are deed books (1818-1850), minute books (1818-1850, inventory and will books (1818-1850), military records (Revolutionary War to WWII), and more.
Lawrence County Marriage Books 1818-1947:
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