Your grandmother (Frances (Krystyn) (Farmacka) Barta) was from Austria! You can't confuse the small Austria of today with the vast pre-1919 Austria! The town your grandmother was from, the full Czech name of which is Koberice u Brna, to differentiate it from a Koberice in the north, is located in what was until 1918 the Austrian province of Moravia (in German: Mähren; capital: Brünn, in Czech: Brno). Following World War I and the break-up of the vast Austro-Hungarian Empire, the Austrian provinces of Bohemia (in German: Böhmen; capital: Prague), Moravia (in German: Mähren; capital: Brünn, in Czech: Brno), and the small Austrian Silesia (in German: Österreichisch-Schlesien; capital: Troppau, in Czech: Opava) became components of the newly created country of Czechoslovakia. There was no Czechoslovakia prior to 1919! In your grandmother's day, Moravia was roughly 70% Czech, 30% German, and Bohemia was roughly 50% Czech, 50% German.

The point is that when your grandmother was growing up, Brünn (Brno), for example, was just as much an Austrian city as Vienna or Salzburg! The picture of your grandmother's parents (Mariana Divacka and Jana Krystyn) from 1906 that was taken "in Austria" may well have been taken right there where the family lived.

Because you seem unfamiliar with the pre-1919 Austro-Hungarian Empire, I will refer you to two maps, so that you can see where Moravia fit into pre-1919 Austria:


http://users.erols.com/mwhite28/austhung.htm

http://www.ancestry.com/search/rectype/reference/maps/freeimages.asp?ImageID=185