Below is a brief outline over the 19th century for the treatment of Hepatitis. As I was preparing this list I couldn't help but thank the Lord that I was born in this time period than back in that one. If your characters develop this disease, I sure do pity them.
In the American Journal of Medical Sciences Vol. 8 ©1830 the treatment for hepatitis was the use of leeches and bleeding.
I found a reference in the Medical Examiner ©1839 that mentions the use of the "blue pill" but also the use of the leeches.
Leeches and Bleeding is still standard course of treatment in 1845 cited in the Half-yearly abstract of the medical sciences. It also states a light diet is in order.
In 1871 Beeton's Medical Dictionary it states that blood letting is not recommended now except in severe cases. It mentions the most common treatment is to try to an support the system during the course of the disease. It also mentions the possibility of using Mercury.
In 1885 A Revised and Enlarged Edition of Clark's new system of electrical medication we find the use of electricity as the practice of apply the current to 'as much as the patient can bear' for 20 minutes once or twice a day.
In 1899 The Practitioner's manual, by Charles Allen acknowledges that the treatment is symptomatic, in other words it only treats the symptoms not the cause of the disease.