Hi,
I was at that genealogical library on Saturday and looked for your grandfather in the Illinois death index. (The actual name of this index is: Death Index by Name--Illinois--Deaths 50 Years and Over) This index is on microfiche.
I found no matching people under Stone, but did find this:
WENNERSTIN Frans Oscar m/w Y-73 0001967 1935-01-04 LaSalle Waukegan
In English, this means: Wennersten, Frans Oscar, male/white, age 73, certificate #0001967, died January 4, 1935 , LaSalle county, town of Waukegan
The weird thing is that Waukegan isn't in LaSalle County, unless there is a smaller Waukegan there. I didn't check the map. I think his year of death is off a tiny bit too.
(Another genealogical society member said that if he did die in LaSalle county, you're lucky. She has gone to their genealogical society and they are incredibly helpful. A whole bunch of people just started looking and finding things for her.)
The spelling is also slightly different from the way it was in the directory. He was the only Wennerstin in a bunch of Wennerstens, so maybe it's a typo.
You might want to check a Chicago newspaper for that period to try to find an obituary. I can't always find my relatives, so maybe back then an obituary wasn't done so much. An obituary would name other relatives, though, so it's worth looking into. I think it is probably your grandfather, but you would hopefully recognize the relatives and could be more sure.
The address to send for the death certificate is:
Illinois State Archives
Archives Building
Springfield, IL 62756
I didn't send any money and they did send me the death certificate. I only asked for a genealogical copy. They didn't ask for payment, but did say that there was a charge for a certified copy. (You need that for legal reasons only.) I can't remember the charge for a certified copy.
I had to wait three months to get the certificate. Maybe the holidays slowed things down.
Judy