Just saw your query - maybe we've corresponded before, forgive me. My father's aunt, Anna Kohl married Joseph Kvasnicka, Jr., lived in Saline county, Nebraska. I'm also interested in finding out more about Joseph's siblings and have very limited info on them, but am willing to share. Is your family related to Emma Kvasnicka?
By now, you probably have found out that Joseph Kvasnicka, Sr. was married to Mary (Czech: Marie) Marek, b 1868 - d 1941.
In 2002, we had a Kohl reunion in Lincoln and I got reacquainted with Joseph, Jr's. first born twins that I hadn't seen since I was a youngster.