Found the thread with discussion of Hans Leip- 37963:
Aug 18th 1941 Lili Marleen.
One of my treasures is the little book of poetry; Hans Leip, 1942, "Die Laterne, Lieder und Gedichte," printed in Germany during WW2, "Feldausgabe, 20. Tausend."

The music was written by Norbert Schulze, 1941. See Abby Sale, and discussion by Wolfgang, thread 83904: Aug 18 Vor der Kaserne

The full five verses, written by Leip in 1915 for his two girl friends, Lili and Marleen, are in the DT.