Found the line in a song, whichh is the DT as A-roving on a winters night, credited to Doc Watson, with the lines


A-roving on a winter's night
And a-drinking good old wine
Thinking about that pretty little girl
That broke this heart of mine

She is just like a bud of rose
That blooms in the month of June
Or like some musical instrument
That's just been lately tuned

But the versions I've heard with the first verse there don't have the second one, and I can't ever remember hearing the song whereas my sense of it in the Burns song is very real. So my feeling is there must be a version of the Burns song which has it, which was drawn on for this verse to be adopted into. Peter Bellamy sings a version of A-Roving probably taken from the Doc Watson one, though the words are a bit different.

I'd still like to hear if anyone has come cross the Burns song with the line - which In fact I much prefer to the standard one.