The temperance song is the Sacred Harp version. I assume the "Sweet Songster" words used the tune, since they scan so well & use the Come away phrase so much.

It was not in the earliest editions of Sacred Harp. Here's the footnote from the 1911 James edition of Sacred Harp. Posted to Fasola Discussions about a week ago:
"The above tune was first published in the Sacred Harp by B.
F. White in 1850. It is one of the temperance songs, composed for a temperance association, called the sons of temperance. This association had quite a collection of tunes on the same order of the above. The tune is suposed to have been taken from one of these collections. It also appears in the Christian Harmony by Walker 1866 page 358, also in Missouri Harmony by Carden in 1827, and published in many other songs and tune books. Walker in his book gives William Houser credit for the treble."

The Online Southern Harmony has different words about a Sabbath School. I'll check my Missouri Harmony, but the mention of it being there may be incorrect.