The first one which came to my mind is Sea Fever, written by John Masefield but sung in the very unique style of Oz singer, Kavisha Mazzella on her Mermaids in the Well CD

But a large number of the poems of Australian poet Henry Lawson have been set to music. There is a brilliant collection of these by Chris Kempster including music notation of various versions and tunes. My favourite is:

Do You Think That I Do Not Know?

Henry Lawson

1910

They say that I never have written of love,
As a writer of songs should do;
They say that I never could touch the strings
With a touch that is firm and true;
They say I know nothing of women and men
In the fields where Love's roses grow,
And they say I must write with a halting pen
Do you think that I do not know?

etc

Helen