This song is Paul A Tate’s paraphrase of Psalm 136. He leaves out the bits about killing the first-born and powerful kings, but the rest is there.
WLP subscribers can download the sheet music here, but the rest of us will just have to get Voices As One because I can’t find the lyrics anywhere on the net.
The verses are conversations between cantor and assembly, but I’d get everyone singing the cantor line and a solo voice doing the answers.
It is noted to be played moderately, with a steady beat, so without further guidance my backing came out funk lite. The two melody lines in the verse are at opposite ends of the stereo spectrum.