If George died in Chicago before October 8, 1871, his death record was destroyed by the fire (the info below was just sent to me by another genealogy site). I don't know the fate of newspapers from that time period, so I don't know how probable it would be to find an obituary for him.
Cook County Clerk's Office, Illinois
Cook County, Illinois, is located on the southwestern end of Lake Michigan. Its county seat is Chicago. The Cook County Clerk's Office has made non-certified versions of vital records available through databases found on its Genealogy Unit website. There are more than six million birth, marriage, and death records for Chicago and Cook County in these databases. They date back to 1872. (The Chicago Fire destroyed all Cook County vital records prior to October 8, 1871.) Mandatory filing of vital records with the State of Illinois began January 1, 1916; records filed before 1916 were filed at the county level. In Illinois, vital records prior to the following dates are defined as genealogical vital records: birth records 75 years or older (1938); marriage records 50 years or older (1963); and death records that are 20 years or older (1993).
You must register to view the indexes (registration is free). You may begin your search once you have logged in. The databases may be searched by last name, middle initial, first name, and year range, or by year and file number. You must select a record type. The data fields in the search results include name, married to, record type, file number, and event date. Clicking on the name link will bring you to a page that allows you to order an electronic copy for $15.