Yes, Ruth died in 1910. I have no clue if the death record would contain more than what the extraction states. Child may have gotten hold and drank something, all I know is what is stated from extraction which list her birth, death, cause, place and her parents. Kids do dangerous things, I had an aunt who tried to accidently do herself in at age 3 by tasting kerosene of all things.
This I think is part of your family: (Obit extraction)
CARMEAN, Clarence Elmer; b: (not stated); d: 12Jan1982, White Hall, Il.; bu: Pine Tree Cemetery, Patterson, Il.; m: Beatrice Elizabeth Newingham; fa & mo: (not stated). A resident of Roodhouse; was 71 years of age at death. Wife preceded in death. Survived by one son: Lynn F. of Monroe City, Mo.; and these step-children: Mrs. Elmer Looper of Jerseyville, Shirley Briggs of Jerseyville, Arleen Hutton of Tucson, Ariz., Charles Darringer of Roodhouse, and Raymond Darringer of Manchester; four grand and 10 step-grandchildren. Preceded by two step-daughters; one sister; and one brother.
I assume you know the name of the Mr. Darringer that Beatrice Elizabeth Newingham first married before she married second to Clarence E. "Butch" Carmean. I don't have access to marriage records for Greene County after 1900.
Beatrice Elizabeth Newingham Darringer Carmean died in 1973 (from gravestone), it's too early of date for me to see a newspaper obit extraction from MAGA which starts in like 1976.
You can find Beatrice and Helen with Carrie and her new husband Rudy Kasner on the Greene Co IL 1920 census (they are listed as Kasner also which is not unusual on census which is why it is sometimes hard to follow children with remarried parents across different years).
You may be able to get volunteers from Greene Co (maybe a library with filmed old newspapers) to look for additional obits and announcements.
I am not related to this family I just happened to have been working on Maria Catherine DePue Newingham's mother for something else when I caught your posting.