I have a G-Grandmother, Anna Veronica Pollock, who I believe originated in Pest in 1882. She married a John Adam(s) before immigrating to the U.S. circa 1906. She could fall into the mix somehow. I know that Pollock's were well in settled in Daisytown, PA before their immigration. Later, a clan wound up in Terre Haute, Indiana though I have no idea as to how all are related.
Stories say that Anna's 1st cousin was in Terre Haute or it was her uncle. Either way, I have no clue.