Good for you in starting your family search. It's very addicting.
I believe the bible was Frantiska (Bilka) Zacek b 20 May 1862 Austria and no longer have it - I'll need to look but I believe I sent it to a family line in Texas......let me get that for you because it would be fun for you two to get together. I do have scanned copies of some things in the bible and will gladly send those to you.
Now, let's make sure that we're talking about the same Josephina Zacek Mensik....
This is from an audio tape:
!STORY: Audio tapes made by Robert Rutan, in 1966/67 (age about 41) for his friends and relatives at his home in Chamberlain SD. (SIDE 1)
When Mother(Frances Zacek Rutan) finally got home (1936-from the hospital) and got squared away in the spring, her sister (Josephina Zacek Mensik) in Texas wound up confined for a year in a TB sanitarium. She had a daughter 4 ½ years old (Alberta L Mensik) , so nothing do, but mother had to go down to Texas and bring the little girl up to live with us.
Mother’s (Frances Zacek) sister, Josephine (Zacek), married a fellow down around Bryan, Texas. He was a Czech by the name of Mensik. And they had one daughter, Alberta. Alberta;still lives in Bryan.
Is ths your Josephine?