Joan Bimson, of Southport, Merseyside UK, has written a thesis called Hard Wired for Heroes: A Study of Punk Fanzines, Fandom and the Historical Antecedents of the Punk Movement (a pdf document) which explores, among other things, hooliganism, and contains the following quote:

"The word [hooligan] was Irish in origin and came from a music hall song of the 1890s performed by comedians O'Connor and Brady, about a fictitious Irish family:

"Oh, the Hooligans! Oh, the Hooligans!
Always in the riot,
Cannot keep them quiet,
Oh, the Hooligans! Oh, the Hooligans!
They are the boys
To make a noise
In our backyard."

I found a few references to a music-hall song called HOOLIGAN'S FANCY DRESS BALL by John H Wagner (T. B. Harms & Co, 1894), but I have no lyrics and I'm not sure it's the right song.