"a song called 'Scarlet Fever'"

There is no mention on the internet of a Victorian Music Hall song called Scarlet Fever.

Does anybody know whether such a song actually existed?

In the song, of course, scarlet fever refers to a passion for soldiers, not to the illness.

Follow this link to see the male impersonator Vesta Tilley dressed as a soldier, and to listen to her sing Jolly Good Luck to the Girl who Loves a Soldier.