Anthoni KERNEN and Christina GAFNER had children:
Anthoni KERNEN bap. 11 Apr. 1773;1 m.1 Margaretha ANNELER 11 Mar. 1791;2
m.2. Anna BIERI 7 Feb. 1820;3 d. 26 Feb. 1837 Reutigen1,4

Anthoni KERNEN and Margaretha ANNELER had children born and baptized at
Reutigen, Canton Bern, Switzerland:
1. Anthoni KERNEN bap. 13 Nov. 1791;1 d. 2 Feb. 1794;1,5
2. Abraham KERNEN bap 1 Sep. 1793;1 d. 25 Jan. 1794;1,5
3. Antoni KERNEN bap 22 Feb. 1795;1 d. 26 Feb. 1799;1,5
4. Jacob KERNEN [KARNS] bap 20 Nov. 1796;1 m.1 Verena MOSER 12 Dec. 1818;3
   d. 3 Sep. 1878; bur. Saint Peters Cem., Urbana, Wabash Co., IN6
5. Johannes KERNEN bap 15 Apr. 1798;1 d. 13 May 1800;1,5
6. Antoni KERNEN bap 20 Dec. 1801;1 d. 1 Apr. 1806;1,4
7. Margaritha KERNEN b. 10 June 1806;7 d. 3 Feb. 1809;4

Anthoni KERNEN and Anna BIERI had children born and baptized at Reutigen:
1. Susanna KERNEN b. 3 June 1820;7 m. Christian Lüdi 14 Feb. 1846;8
2. Johannes KERNEN b. 27 June 1822;7 m.1. Maria Elisabeth SIEGFRIED;8,10
   21 Aug. 1847;8 m.2. Luisa TEUSHCER;9,10 d. 12 Jan. 1873 at Wimmis7,9
3. Albrecht KERNEN [Albert Kern] b. 6 Nov. 1824;7 m. Rosina Weissmuller 10 Nov. 1848;8
   d. 29 Jan. 1900 Des Moines, Polk Co., Iowa; bur. Greenwood Cem.,
   Muscatine, Muscatine County, Iowa11
4. Magdalena KERNEN b. 2 Dec. 1829;7 m. Gottlieb MAURER 8 Apr. 1854;8
   to America;7 arrived 30 June 1854 New York on the Antwerpen;12
5. Gottfried F. KERNEN b. 3 Feb. 1835;7 had child with Anna ZIMMERMAN;13
   m.1. Rosina [Rosanna] BOHREN 17 Feb. 1859;14 m.2. Lucinda STILLIONS
   17 Dec. 1885;15 d. 9 June 1907 Columbus Junction, Louisa Co., Iowa

1. Evangelische-Reformierte Kirche, Reutigen, Canton Bern, Switzerland,
   Book 2, Taufrodel 1753-1804.
    p. 92 Anthoni bap. 11 Apr. 1773
          Father: Anthoni Kernen of Reutigen
          Mother: Christina Gafner of Brenzighofen [Brenzikofen]
          Sponsors Peter Schöni of Bleichen, Michel Spring of Reutigen,
          Christian Kernen of Reutigen
    p. 219 Anthoni bap. 13 Nov. 1791; died 2 Feb. 1794
           Father: Anthoni Kernen, Anthon's son
           Mother: Margarita Anneler
           Sponsors: Johannes Kernen, Chorrichter; Michel Spring
           Spend Vogt, Johann Kernen, the father's sister
    p. 231 Abraham bap. 1 Sep. 1793; d. 25 Jan. 1794
           Father: Anthoni Kernen
           Mother: Margarita Anneler
           Sponsors: Abraham Kernen the Schneider, Barthome Büttschi [Bütschi]
           the Alter Weibel's son, Maria Thönen, Johannes Kernen the
           Knichtschreiber wife Jacob
    p. 240 Anthoni bap. 22 Feb. 1795; d. 26 Feb. 1799
           Father: Anthoni Kernen the younger
           Mother: Margarita Anneler
           Sponsors: Michel Spring, Alt. Spend Vogt; Johannes Kernen the
           Schneider, Johanna Kernen, Anthoni's daughter, sister of the father
    p. 249 Jacob bap. 20 Nov. 1796
           Father: Antoni Kernen, Anton's son
           Mother: Margarita Anneler
           Sponsors: Barthlome Bütschi, Alt. Kirchmeÿer; Jacob Spring an der
           Allmont, Alt-Grichtsäss; Susanna Spring, David Krebsen wife
    p. 260 Johannes bap. 15 Apr. 1798; died 13 May 1800
           Father: Antoni Kernen
           Mother: Margarita Anneler
           Sponsors: Johannes Kernen, Jacob's son im Bälliz; Johannes Kernen,
           Abraham's son im Bälliz; Susanna Simon, Peter Thönen's wife
    p. 280 Antoni bap. 20 Dec. 1801, died 1 Apr. 1806
           Father: Antoni Kernen
           Mother: Margarita Anneler
           Sponsors: Abraham Kernen im Eggen; Alt-Spend Vogt, Jacob Thönen der
           Allment [Allmend] Alt-Spend Vogt, Elisabeth Bütschi the deceased
           Kirchmeÿers daughter
2. Evangelische-Reformierte Kirche, Spiez, Canton Bern, Switzerland,
   Book 10, Eherodel 1726-1813.
    p. 104 Anthoni Kernen of Reutigen to Margarita Anneler of Lütschental,
           Church Gsteig near Interlaken
3. Evangelische-Reformierte Kirche, Reutigen, Canton Bern, Switzerland,
   Book 6, Eherodel, 1754-1826.
    p. 100, #20, 12 Dec. 1818, Jacob Kernen, Antony's son of here and
                 Verena Moser, Bendicht's daughter of Röthenbach
    p. 103, #2, 7 Feb. 1820 Antonius Kernen, [son of] Antonÿ of Reutigen married
                Anna Bieri, widow of Peter Gerber, deceased, of Unter Schangnau
4.  Evangelische-Reformierte Kirche, Reutigen, Canton Bern, Switzerland,
    Book 10, Totenrodel 1805-1853.
     p. 3 Antonÿ Kernen son of Antonius died 1 Apr. 1806; bur. 4th,
          age 4 years, 3 months, 11 days
     p. 8 Margaritah, Antoni Kernen's daughter died 3 Feb. 1809; bur. 6th
          age 2 years, 7 months, 21 days
     p. 49, #5 Anton Kernen, son of Anton, died at Reutigen on 26 February 1837;
               buried 1 March, age 63 years, 10 months, 15 days.
5. Evangelische-Reformierte Kirche, Reutigen, Canton Bern, Switzerland,
   Book 9, Totenrodel, 1754-1804.
     p. 67 Antoni Kernen a child named Antoni age 2 years, 2 months died
           2 Feb. 1794, bur. 4th
     p. 67 Anthoni Kernen child Abraham died 25 Jan. 1794, age 5 months.
           bur. 27th
     p. 77 Antoni Kernen child Antoni died 26 Feb. 1799, age 4 years,
           bur. 1 Mar.
     p. 80 Antoni Kernen child Johannes died 13 May 1800, age 2 years,
           1 month, bur. 15th
6. Jacob Karns headstone, Saint Peters Cem., Urbana, Wabash Co., IN
7. Evangelische-Reformierte Kirche, Reutigen, Canton Bern, Switzerland,
   Book 3, Taufrodel, 1805-1838.
     p. 8, #10 Margaritha born 10 June 1806, bap. 15th
               Father: Antonÿ, son of Antonius at Reutigen
               Mother: Margaritha Anneler aus dem Lütschithal
               Sponsors: Hr. Johannes Kerner, Statthalter; Maria Stutzman the 
               alt Kirchmeÿer Kerner's wife; Johanna Kernen, Hans Eggen's wife
               at N[ieder]stocken
    p. 101, #18 Susana born 3 June 1820, bap. 18th
                Father: Antonÿ, son of Atonius of here
                Mother: Anna Pieri[Bieri], Peter's daughter of Schangnau
                Sponsors: Hans Pieri [Bieri] the mother's brother; Susanna
                Bütschi, Chor: [Chorrichter] and Gricht [Gericht] Peter Kernen's 
                wife; Susanna Kernen, Marg: im Pfarr wife
    p. 117, #17 Johannes born 27 June 1822, bap. 7 July; d. Wimmis 12 Jan. 1873
                Father: Antonÿ, son of Atonius of here
                Mother:  Anna Bieri, daughter of Peter of Schangnau
                Sponsors: Johannes Kernen alt Kerichtwirth im Thun;
                Johannes Bütschi, Trüllmeister, Susanna Lü......
    p. 139, #31 Albrecht born 6 Nov. 1824; bap. 14th [went to} Amerika
                Father: Anthon Kernen, son of Anton of Reutigen
                Mother: Anna Bieri of Schangnau
                Sponsors: Jakob Spring, Spendvogt of Reutigen; Samuel Erb of
                Röthenbach; Susanna Catharine Simons; wife of Joh. Kernen of
                Reutigen
    p. 188, #31 Magdelena born 2 Dec. 1829; bap. 20th [went to] Amerika
                Father: Anton Kernen of Reutigen
                Mother: Anna Bieri of Schangnau
                Sponsors: Johannes Tönen [Thönen] alt ------Vogt of here;
                Magdalena Kernen, wife of Joh: ---; Anna Cathaina Sulzener
    p. 248, #14 Gottfred born 3 Feb. 1835; baptized 15th [went to] Amerika
                Father: Anton Kernen, son of Anton of Reutigen
                Mother: Anne Bieri of Schangnua, Peter Gerber's widow
                Sponsors: Johannes Spring, Schulmeister; Johannes Krebs,
                Spendvogt; Anna Barbara Gerber, the child's stiefschwester
                [half or step sister, in this case half sister]
8. Evangelische-Reformierte Kirche, Reutigen, Canton Bern, Switzerland,
   Book 7, Eherodel 1827-1875. 
    p. 48, #3. Christian Lüdi...im Burgdorf and Susanna Kernen, Anton's
               daughter of Reutigen m. 14 Feb. 1846
    p. 53, #17 Johannes Kernen, Anton's son of here and Maria Elisabeth
               Siegfried, Benedicht's daughter of Höchstetten m. 21 Aug. 1847
    p. 56, #18 Albrecht Kernen, Anton's son of Reutigen and Rosina
               Weissmuller, Jakob's daughter of Wimmis m. 10 Nov. 1848
    p. 67, #8 Gottlieb Maurer son of Peter of Reutigen and Magdalena
              Kernen, daughter of Anton of Reutigen m. 8 Apr. 1854
9. Evangelische-Reformierte Kirche, Wimmis, Canton Bern, Switzerland,
   Book 13, Totenrodel 1831-1875.
    p. 104, #3, Johannes Kernen, Anton and Anna Bieri, husband of Luisa
                Teuscher of Reutigen, Schreiber in Wimmis, born 27 June 1822
                Died in -----, d. 16 Jan. 1873 age 50 years, 6 months, 16 days
10. Evangelische-Reformierte Kirche, Erlenbach im Simmental, Canton Bern, Switzerland,
    Book 9 Ehe- und Verkündigungsrodel, 1846-1875.
     p. 79, #17 Johanne Kernen, son of Anton of Reutigen, Schreiber
                in Wimmis, widower, born 1822, wife Maria Elizabeth Siegfried
                died 12 June 1851; married Luisa Teuscher 29 Oct. 1859
11. Albert Kern headstone, Greenwood Cem., Muscatine, Muscatine County, Iowa.       
12. New York City passenger lists, Antwerpen, 30 June 1854.
     Gottlieb Maurer 30 Switzerland
     Magd.           25    "
     Henry            4    "
13. William Henry Zimmerman WikiTree profile, Zimmerman-5488, contains a summary of the evidence.
14. FamilySearch, "Iowa Marriages, 1809-1992", Godfrey Kern and Rosa Bohern marriage, 17 February 1859.  
15. Family Search, "Iowa, County Marriages, 1838-1934", Gottfried Kern and Lue Stillion marriage, 17 December 1885.