All the information for Zeutern births, marriages and deaths in the Ortssippenbuch Zeutern comes from the records of St. Martin's, which is a Catholic church. Here is information and pictures from the town's website:
http://www.ubstadt-weiher.de/servlet/PB/menu/2881150_l1/inde...

Zeutern is now governed as part of a larger group of towns called Ubstadt Weiher, and by the way it is one of the most lovely places you could ever visit!

Now, on to your ancestors:

Andreas Müller, born 10.Aug.1831
Married on 19.Jun.1856 to Veronika Geiß.
He was the son of Franz Joseph Müller (1807-1868) and Eva Katharina Geiß (1807-1835).
He had 3 siblings, two of whom died as infants: a brother Andreas (1830-1830) and a sister Theresia (1835-1835). His sister Eva Katherina Müller (1833-1904) married a man named Eduard Schorle in Karlsruhe in 1856.
The book contains entries for Andreas' ancestors going back to his great, great grandfather Müller, who came from Ellwangen.

Veronika Maria Geiß was born 26.Oct.1835.
She was the daughter of Franz Geiß (1807-1852) and Elisabetha Specht (1812-1893).
She had 6 siblings, one who died in infancy: Elisabetha Maria (1833-1833). The others were: Ludovika (1837-1875), Maria Anna (1840-1916), Engelbert (1842-1848), Wilhelmina (1846-1900), and Maria Eva (1849-1923).
The book contains information on Veronika's ancestors going back to her great, great, great grandfather.

Here is the information for Andreas and Veronika's children:
Anna: born 5.Apr.1857; married 7.Jul.1878 to Franz Karl Reiser (1853-1908); 3 children. No death date for Anna.
Luise: born 13.Jan.1859; died 10.Jul.1859.
Alois: born 7.Aug.1860; no death date.
Andreas: 7.Jul.1866; married 14.Jul.1895 in Söhnstetten to Dorothea Stütz; no death date.
Franz Joseph: born 30.Oct.1870; no death date.
Eduard: born 3.Mar.1874; died 14.Sep.1875.
Eduard: born 10.Dec.1876; no death date.
Luise: born 5.Mar.1879; no death date.

No death date usually means that the person left Zeutern, and lived far away and/or lost touch with family in Zeutern.
Your roots in Zeutern go back a ways, and then there's all the lateral relationships... You might want to try to purchase a copy of this book. Here's the publication information:
Title: Ortssippenbuch (Familienbuch) Zeutern, 1682-1900.
Author: Franz Keßler
ISBN: 3-89735-166-8
Ubstadt-Weiher : Verag Regionalkultur, 2001.
I ordered my copy directly from the publisher's website.

Good luck, Deborah.
Ann