I have traced my Popek family to a town called Nosow. There is a village named Nosowka near Rzeszow, Poland.
Anna (Olena) Prokop(iw) married Michael Popek (sometimes written Popak). The had one son in Nosow, Austria (modern day Poland). His birth name was Eugenius Popek, which he later changed to James Popick. Eugenius listed his birthplace on his naturalization petition as Nosow. The family (I don't know if seperate, or all together) immigrated through NY in 1911-1912. They lived in Brooklyn for awhile until they moved to CT.
I am sure that Michael's name was not Michael...but unfortunately he died when his sons were quite young and there is little to no information about him. Does this sound like anything you have come across. I can't imagine there were very many families of Popeks in Rzeszow that aren't related???