ClaireBear: Don't worry about that--apparently, brie gives Skipy hallucinations.

As for "traditional" vs. "Holly's", there seems to be little difference in the lyrics, only with the organization and (perhaps) tune. However Holly sings it, the first stanza in the French lyrics you posted is usually the refrain--you even indicate this in your English version. If you swap the first two stanzas of the French, your English and French stanzas match up, and the French also matches most "traditional" lyrics found elsewhere. Indeed, there seems to be a great consistency among the versions I saw, to a degree I wouldn't have expected of a "traditional" song.