Not only the french know this song :)
I think you did a nice job here, keeping things sound very sweet and innocent, but still with enough variation to keep it interesting.
I have one remark though, in measure 14 you wrote the second part (3rd and 4th beat) differently from those preceding and following it. I did not like this. Maybe you could change this by 8vb the first C, and 8va the second C. I think that would fit better. As you wrote it now, the high register 3rd (on the 3rd beat: the C in left hand and the E in right hand) really stands out. Too much for my comfort.
measure 21 left hand: there are two eight-notes on the last beat, but in the recording (and everywhere else in your piece) there is a quarter-note.