Wow, the thing I'm thinking of (it was En Passant Par La Lorraine that I had thought of at first, but figured A La Claire Fontaine would be more known) is a French thing and I never noticed! I love being that bilingual. There are children's books I am surprised to find were in one language or the other, too.

You other Europeans, does the "repeat the last line as the first of the next in couplet songs" happen in German or Italian or anything?