Because it is a song about one of the seasons, I've been thinking about the very unusual and very old English song Sumer is Icumen in

The information on the video page is:

"'Sumer Is Icumen In' is a traditional English medieval round, and possibly the oldest such example of counterpoint in existence. The title might be translated as 'Summer has come in' or 'Summer has arrived'.

"The round is sometimes known as the Reading rota because the manuscript comes from Reading Abbey though it may not have been written there. It is the oldest piece of six-part polyphonic music (Albright, 1994). Its composer is anonymous, possibly W. de Wycombe, and it is estimated to date from around 1260. The manuscript is now at the British Library. The language is Middle English, more exactly Wessex dialect."

It has an unusual melody and rhythm and for me there is a similarity in the melody with the Autumn song, but maybe it's possible that the Summer song inspired the Autumn song.