= Solution
\b[The important transmission chain is from an infected person's intestinal discharges to another person's mouth, especially through contaminated <drinking water>, food or hands.] In the terminology of 1864, the specific infectious material was associated with the bowel discharges of <typhoid fever>.
<William Budd>'s 1861 argument makes this a disease propagated from preceding cases. Excreta enter a privy, drain or sewer; contamination can then reach a water supply, food or domestic surroundings and expose another person. Soiled linen and attendants' hands can also carry faecal material into the ingestion pathway. A shared polluted supply can therefore distribute infection to people who have never met the original patient. Removing and safely disposing of the discharges, protecting the supply and preventing transfer to food interrupt successive parts of this chain.<Observations on Typhoid or Intestinal Fever: The Pythogenic Theory by William Budd>[Part III, 30 November 1861, p.575: intestinal discharges, sewers and specific propagation]{ref}
This contemporary explanation should be distinguished from the competing suggestion that decomposing organic matter spontaneously generates <typhoid fever>. A sewer can transmit infection because it receives infected excreta; its smell is not itself proof of the causal material or of a primary inhalation route. The question's historical wording reflects a period of dispute, rather than an obligation to present all competing beliefs as equally correct.
The present explanation identifies <Salmonella Typhi> and <faecal–oral transmission>. People who are ill, convalescent or asymptomatic carriers can shed the organism; contaminated food and <water> convey it to another person. This specific bacteriological account is later knowledge, corroborating the route without attributing modern identification methods to 1864. <Typhoid fever> must also be distinguished from <typhus>, which has a different transmission history and biology.<About Typhoid Fever and Paratyphoid Fever by the Centers for Disease Control and Prevention>[Causes and spread: human sources, carriers, food and water]{ref}
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