By the late 1640s, the Jesuits believed they were making progress in their mission to the Huron, and claimed to have made many converts. But, the priests were not universally trusted. Many Huron considered them to be malevolent shamans who brought death and disease wherever they travelled; after European contact, the Huron had suffered high fatalities in epidemics after 1634 of smallpox and other Eurasian infectious diseases, to which aboriginal peoples had no immunity. (Epidemiological studies have shown the diseases were likely carried by the increased number of children immigrating after 1634 with families from cities in nations where smallpox was endemic, such as France, England and the Netherlands).