I do not know the history, but from the original editions it is quite clear that the poem by the then-popular English poet Clifton Bingham is the starting point. Frida Wilhelmi was (according to Google) a prolific translator of English poetry, of good craftswomanship, as we see above. Performers should prefer the English lyrics.

The publisher in Boston may have added a German translation not only to serve the German-speaking community in America, but also to suggest the prestigious genre of "German lied". However, neither Bingham nor Greene had any high-brow ambitions.