Johann Christian Heinrich Rinck (1770 - 1846) was a German composer and organist of the late classical and early romantic eras. He studied with Johann Christian Kittel (a pupil of Johann Sebastian Bach), and he eventually became Kantor at the music school in Darmstadt, where he was also a court organist from 1813.
This prelude and fugue are part of his extensive Praktische Orgelschule, nearly at the end as part of a bundle with preludes and fugues. It's always interesting to play Rinck's music and see if he shows his romantic or his classical side in a piece.