The tune is the same as "Clamanda", in the Sacred Harp (a different text appears there). No attribution is given for the tune specifically; it's not clear whether the citation, "Collection of Hymns and Spiritual Songs, 1814" is for both text and tune, or not.

At one point I did a search for the 1814 "Collection" and was not able to locate the song.

There's an image of the page from the 1860 edition of the Sacred Harp here (courtesy of the Michigan State University Library special collection, "Shaping the Values of Youth: Sunday School Books in 19th Century America").

~ Becky in Tucson