It sounds very similar to 'When a man's in love' as sung by Paddy Tunney on the "Songs of Courtship" disc in the "Folksongs of Britain" series edited and collected by Peter Kennedy and Alan Lomax.
The Midi tune in the DT is different.
But why would Sue be singing
'When a man's in love he feels no cold
Like me not long ago'
I thought it was a man's song - but maybe it's ambidextrous?
Or she may have alternative words to that tune.
Robyn