Not the chords, but I always think it's useful to post the lyrics, too. Maybe with the lyrics and recording, somebody can work out chords for you.

MELANCHOLY MARCH
(Dory Langdon Previn, as recorded by Julie London)

Melancholy March, your gloom is showing
Your winds are blowing across the sky
Melancholy March, your clouds are crying
Your trees are sighing as though they'll die

I know you’re late for winter's tale (unclear)
Too early for any spring
So we stand hand in hand
Waiting for anything

Melancholy March without a season
You have no reason or rhyme to be
Melancholy March, meet melancholy me
Melancholy March, meet melancholy me


Julie London recording: https://www.youtube.com/watch?v=3h2kTzFw5ts

Calendar Girl playlist (Julie London): https://www.youtube.com/playlist?list=PLFC023E9E1487AEC4