Hallelujah. Who is the author?

Among the hymns of the Christian church, there are two poems called Hallelujah. Handel's work, usually called Hallelujah, is called the great Hallelujah because it is longer and more famous than the other one. But this is a chorus in his representative oratorio Messiah. Another film called "Little Hallelujah" is the work of J. Fossett.