Not all the hymns in Southern Harmony, and Musical Companion are anonymous. Far from it. This one was composed by Matilda T. Durham. Her composer page in hymnary.org is https://hymnary.org/person/Durham_MT. From that page:
“A woman of remarkable intelligence and talents; a most colorful personality. She wrote interesting articles for the religious papers of the day, being noted for the witty repartee that characterized her work. She was outstanding as a music teacher and composer of music, some of her songs being “On Jordan’s Stormy Banks”, “Heavenly Treasure”, and “Star of Columbia”. – from http://www.Kletke.com”
It’s a little confusing. Her hymn as it appears in contemporary hymnals can be found HERE. Notice there are verses and a refrain. The original shaped note, reproduced HERE as found in Southern Harmony, doesn’t have a separate refrain but the melodic outline of the refrain is the same as the verse. If you’re new to shaped note music, the melody is found in the tenor, or the staff second stave from the bottom.
My arrangement of her tune is of a different character, completely, from the character of the hymn as presented in contemporary hymnals. I prefer more of a middle eastern dance character.
When I’ve completed the project, the album will credit the attributed composers as well as William Walker, the editor. For more information about this hymn, see https://hymnary.org/tune/promised_land_american.