Cirrhosis is not always the result of excessive drinking. One study has established a link to celiac disease: Lindgren et. al. "Unsuspected Coeliac Disease in Chronic Cryptogenic Liver Disease" Scand J Gastroenterol 1994; 29: 661-664
They cite a number of previous studies that have suggested a link between chronic liver disease and celiac disease, if you wish to investigate further.
In the above-cited study, they examine 327 patients with liver disease, and detect an incidence of celiac disease among these patients that is 15 times as frequent as the incidence in the general population.
Here are some more references I intend to look up and read, but haven't yet done so.