Cardonia, IndianaCardonia is an unincorporated community in Van Buren Township, Clay County, Indiana. It is part of the Terre Haute Metropolitan Statistical Area.HistoryCardonia was founded in the year 1871 as a coal mining town. It was named for John F. Card, a mining official. A post office was established in Cardonia in 1879, and remained in operation until it was discontinued in 1909.GeographyCardonia is located at.