Oxford University and the British Library have the sheet music, described thus:

DON'T STICK IT OUT LIKE THAT
Words and music by Fred Murray and Fred W. Leigh; sung by Fred Earle.
Song; melody and words only, staff and solfa notation.
London : Francis, Day & Hunter, ©1901.
First line: Uncle Jonah's got a funny nose.
First line of chorus: Don't stick it out like that.