Helen,
When I worked at Old Sydney Town, 'Botany Bay' was so often part of the repertoire it was usually known as the 'Sir Joseph Banks Waltz', adding to various customers' confusion, I'm sure.

Kitty,
There are people who gather at the National in Canberra who, 30 years after they learned it, still sing the 'Three jolly huntsmen' you mention. At a wedding where we were put up in the shearers' quarters we thought the ugle ugle ugle was so perfecly accompanied by the boiling of the electric jug we used to make a cup of tea that we thought to give the song an electric (jug band) accompaniment.

Cheers, Rowan