Hi folks, I have a book on genealogy of people living in the Bischmisheim area of Germany before 1900 and thought I would post the information in it that relates to your surnmame in case it helps with your research.
SCHAUMBURGER, Johann Nicolaus,occ:bricklayer ..b.12 Sept 1824 Wattweiler, Germany; d.28 Feb 1873 Bischmisheim, Germany; he was son of Nicolaus SCHAUMBURGER and Maria Elisabeth GOLTZ of Wattweiler. Johann married 11 Sept 1856 at St.Johann to Catherina Philippina LUDT. She was b. 27 July 1831 Bischmisheim; in 1856 she was working as a servant/farm girl in St.Johann. She died 21 Feb 1897 Bischmisheim; was daughter of Johann Phillip LUDT and Catherina Margareta TRAUGOTT of Bischmisheim, Germany.
Children of Johann and Catherina: 1. Catherina, b.21 May 1857 Bischmisheim; m. 1 Oct 1878 in Scheidt to Johann Wilhelm STEINFELS; he was son of Martin STEINFELS and Catherina KAUSCH of Scheidt, Germany. 2. Margareta, b.28 July 1859 Bischmisheim, m.1877 to Christian Philipp SCHWINDT 3. Jacob b.26 Oct 1861 Bischmisheim; m.1883 Carolina KESSLER 4. Carolina b.19 Jan 1864 Bischmisheim; not married - concubinage 5. Magdalena b.17 May 1866 Bischmisheim; d.17 Sept 1873 6. Maria Catherina b.10 June 1869 Bischmisheim; d.17 Nov 1871 7. Sophia Maria b.24 March 1872 Bischmisheim; m. 1895 Daniel BECKER
SCHAUMBURGER, Jacob, ironworker in 1883 ..b.26 Oct 1861 Bischmisheim, Germany; d.26 Dec 1938 Bischmisheim; m. 01 Dec 1883 in Bischmisheim to Carolina KESSLER from Goffontaine. She was b.abt 1862, daughter of Friedrich KESSLER and Erna WEBER of Goffontaine, Germany.
Children of Jacob and Carolina: 1. Jacob Heinrich b.2 March 1884 Bischmisheim; d.15 April 1884 2. Carolina Magdalena Wilhelmina b.16 May 1885 Bischmisheim 3. Margareta Carolina b.3 Oct 1886 Bischmisheim 4. Johann Jacob b.27 Jan 1890 Bischmisheim, d.30 Apr 1892 5. Catherina b.20 Aug 1891 Bischmisheim 6. Carl Daniel b.04 May 1895 Bischmisheim; d.08 Feb 1896 7. Otto Friedrich b.18 Jan 1897 Bischmisheim
SCHAUMBURGER, Carolina b.19 Jan 1864 Bischmisheim; d.1931 in Bischmisheim.
Children of Carolina and ? (unmarried - all children born as "illigitimate" in the records) 1. August b.16 Aug 1885 Bischmisheim 2. Carolina Magdalena b.07 Oct 1888 Bischmisheim;d.19 Dec 1888 Bischmisheim 3. Sophia b.08 Dec 1891 Bischmisheim
...Hope this information can be of help to those researching this surname. The information is from the book: "Die Einwohner von Bischmisheim vor 1900" by Ingrid and Klaus Berndt and Wolfgang Mudter, pub 1999. Book is available to buy and I can give you the ISBN number if you want.
Marcy (not related to this surname, just a helpful genealogy researcher with extensive book collection)