1940 census for Centralia, Marion Co, IL: SCHMIDT, Jacob F. age 49 b. IN wife Bertha R. age 44 b. IN dau Helen E. age 26 b. IL son Howard D. age 20 b. IL
1930 census, same location: SCHMIDT, Jacob age 38 b. IN, both parents b. IN wife Bertha age 34 b. IN, father b. IN, mother b. IL dau Helen age 16 b. IL son Howard age 10 b. IL
IL death record for Jacob SCHMIDT b. 11-Aug-1891 in Ayreshire, IL, d. 25-Mar-1947 in Wamoc, Washington Co, IL.Residence - Centralia, Marion, IL.Buried - Elmwood Cemetery, Centralia, IL.Occupation - miner, Parents were Charles SCHMIDT and Lydia SHAW.Wife was Bertha SCHMIDT.
There's an IN marriage record for Chas. SCHMIDT, age 22, b. Evansville, to Lydia SHAW, age 20, b. Crawford Co, on 22-Dec-1887 in Huntingburg, Dubois Co, IN.Groom's parents were Ferd. SCHMIDT and Lizzie MANNING.Bride's parents were V. SHAW and C. DILLENER.
There's a Ferdinand SCHMIDT in Huntingburg in the 1900 census, b. May 1827 in Germany, immigrated 1847.He was married for 17 yrs to wife Elizabeth, b. June 1837 in PA.She was the mother of 3 children, 2 of which were still living.This might be the correct Ferdinand, with a 2nd wife.
There is a marriage record for this couple dated 18-June-1883 in Huntingburg.His parents are listed as Viniens SCHMIDT and Anna VOGEL.His place of birth is listed as Bencher, Baden, Germany.
There's a user submitted tree for this family here: https://familysearch.org/pal:/MM9.2.1/SY2N-SV3