This prompted me to websearch a little rhyme I learned many, many
years ago, and found (to my surprise) that there was a Shel Silverstein
connection to the rhyme. This, found at
http://members.tripod.com/~ShelSilverstein/Books/GYS.html
is from the introduction Silverstein wrote to his 1956 collection
of cartoons, Grab Your Socks!:
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Korea is different again. There was a Christmas card that many of the
guys were sending home. . . It showed a drawing of a steaming honey
bucket sitting in the mud and the verse was:

"Merry Christmas from Korea,"
Land of lice and diarrhea.
From these lands that we half-mastered,
Merry Christmas, you lucky bastard!"
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As kids, we sang this to the same tune as "Lincoln, Lincoln,
I've been thinkin,'" if you know that one.