Puir Rovin' Lassie - tune comes up in a number of other songs that currently escape my late-night memory!
"Kelvingrove" and "The Shearing's no for you".
Not quite the same, but close: "My Old Man's a Dustman" and "The Jeely Piece Song".
"The Wark o the Weavers" - borrowed by Billy Connolly to become "If it wisnae fur yer wellies".