I think I've found Barbara's parents.Spelling is different, but I've learned to sound things out and allow for accents and just plain changing the spelling as a name passed through a family.
Name: Frantisek Vrchoticky Death Date: 1902 Page #: 236 Birth Date: 1821 Cemetery: St. Joseph Town: Iowa City Relative: 81y Level Info: Johnson County, Iowa Wpa Grave Registrations
Name: Katherina Vrchoticky Death Date: 1904 Page #: 236 Birth Date: 1818 Cemetery: St. Joseph Town: Iowa City Relative: 86y Level Info: Johnson County, Iowa Wpa Grave Registrations
Possible siblings in Barbara's family based upon parents names listed 1925 census were : John, b. abt 1847 Joseph, b. abt 1852 Frank, b. abt 1850 Wesley b. 1857-61, who came to US abt 1868 Mary, b. abt 1850
Found their family 1880 1880 census Oxford, Johnson, Iowa Shebetka, Frank, 60, farmer, Boh Catherine, wife, 58, keeping house Joseph, 26, son, at home John, 24, son, at home Frank, 18, son, at home Wesley, 15, son, at home
The three sons, Joseph, Frank and John may have been listed on the 1870 census in Johnson County as Shonka's, living with another family.
The Shonka name was listed as Shonka, Sumka, Schunka, and Sharka on the 1925 census.