I seem to remember the song “Waltzing Mathilda” from when I was a child - and that was way before 1980. Just sayin’.
You might be thinking of the orginal poem written by Banjo Paterson from 1895, Its kind of the unofficial national anthem of Australia. The song is based on that poem.
Interesting that you spelled it as Mathilda, with an h. Ive heard different things about what a Mathilda, or Matilda represents in the poem. Either a bundle of belongings that an itinerant worker would carry, or the other version is that Mathilda with an h is a slang German word for a type of coat.