Interesting that the thread originator never came back to tell us which song it was!

May I suggest it could also have been:

Twas on a Monday morning, the time appointed was
To walk down to a meadow green field and meet a bonnie lad
To meet a bonnie laddie, and keep him company
For he's all low down in the broom
Waiting in the broom for me.

And - why do all these things happen on a Monday? or is it the alliteration?

Sue