Those wishing to know more about the 1865 Illinois Census can find more on the Illinois State Archives website. There is a partial index at the Illinois State Archives, but this index is not online.
The 1865 Illinois State Census images are available online at HistoryKat--here you can browse the actual images. The census is head of household only and in the case of most rural counties the lack of an index is not a significant problem if the township or area of residence is known with some degree of precision. Using the census is easier if the researcher has access to a township map for the counties under study.
We'll be posting the results from my searches in the Adams County, Illinois, 1865 census over the next few days.