It's not Quaker.

The music is by Robert Lowry, who wrote a lot of tunes for evangelical hymns in the late 19th century. The words are sometimes attributed to Anna Warner, but from another list I've been told: The Dictionary of American Hymnology regarded the matter as unsettled, author unknown.

Its original printing (with tune) was in Rob't. Lowry, ed., Bright Jewels for the Sunday School (Boston: H.A. Brown & Co., 1869), p. 16. It was republished many times after that.

Pete Seeger learned it from Doris Plenn, who had it from her North Carolina family. Doris Plenn is also supposed to be responsible for the 3rd "tyrants tremble" verse. There are some other minor variations.

The words are here in the DT database. You can find the original words at Cyberhymnal

http://www.cyberhymnal.org/htm/h/c/hcaikeep.htm