I have no connection to this family.Saw your query and did some searching.This is what I have found:
As a baseline:
1900 United States Federal Census about Annie Doernig Name: Annie Doernig Home in 1900: Chippewa Indian Reservation, Cass, Minnesota Age: 37 Estimated birth year: abt 1863 Birthplace: Ohio Relationship to head-of-house: Head Race: White Occupation: View image Neighbors: View others on page Household Members: Name Age Annie Doernig 37, Head, b. Dec. 1862, widow,7 children, 4 living in 1900, b. Ohio, parents b. Germany, boarding house keeper William L Memdigel 13, son, b. June 1886, Minnesota, father b. Germany, mother b. Ohio Gertrude Memdigel 6,daughter, b. Oct. 1893, Minnesota, father b. Germany, mother b. Ohio Fidelma Doering 3, daughter, b. July 1896, S. Dak, father b. Missouri, mother b. Ohio Carl F Doering 2, son, b. Feb. 1898, S. Dak, father b. Missouri, mother b. Ohio William Rippel 27, brother, b. March 1873, Ohio, parents b. Germany, Planing Mill Laborer Paul Foneter 20, nephew, b. Mar. 1880, Ohio, parents b. Germany, Planing Mill Laborer
Source Citation: Year: 1900; Census Place: Chippewa Indian Reservation, Cass, Minnesota; Roll: T623 759; Page: 8A; Enumeration District: 327. ********************************** I can't find any more information.Annie was married twice by her childrens' ages and surnames.I would suggest you send for Carl's birth certificate and/or Edmund and Annie's marriage certificate.Good luck.