I'm not aware of any connection, but will keep you in mind as I continue my search. Since my last post, I have learned that the children of Anton Duda and Sophia Miller were born in what is now Babienica, Gmina Woźniki, Lubliniec County, Silesian Voivodeship. Sophia Miller is from the same village.
Although unconfirmed, I believe my Anton Duda was born in Wozniki (German Woischnik) to Stephan Duda and Marianna Zok. Stephan and Marianna had children Valerian, Mathias, John, Felix, Elisabeth, Anton, Magdalena and Joseph.