Do you have more information on your Paul & Lizzie Hoeck? Approximate time of death? I have a death index here that covers up until 1912 but I don't find them listed. Are there variations of the spelling of the last name?
The Winnebagoland Genealogical Society is currently involved with the county to gather information on burials in the Winnebago County Poor House Cemetery. People from the Poor House, Asylum, and Northern Hospital were buried here.
The Northern Hospital does have its own cemetery but are pretty closed lipped about any info unless you can prove relationship. The Northern Hospital is now called Winnebago County Health Institute.
I am involved in this project and should be able to find out if your Hoeck's are on the list. I have been assigned the S's and a couple of T's.