Well, I’ve traced back to my 4th great-grandparents on the Polish side. Most of their records list their birthplace as Rogi, Krosno, Poland, which apparently is in the Podkarpackie Voivodeship or Podkarpackie Province (aka Subcarpathian Voivodeship). Thanks, Wikipedia (for help w/my preliminary research). I’m still learning the geography, which seems complex, esp. considering the history of the region and the redrawing of boundaries in central and Eastern Europe. Rogi is not included on the list of towns in that province, which added to my confusion:
https://en.wikipedia.org/wiki/Podkarpackie_Voivodeship#Cities_and_towns.
Then I realized that it’s a village, not a town! https://en.wikipedia.org/wiki/Category:Villages_in_Krosno_County
Other areas referenced in records include Ostrava, which is actually in the Czech Republic; Równe; Poznań; Galicia; and Austria (Austrian Poland, probably).
More to learn, I’m sure …
Harriet and the Berky 
That’s only about 85 miles due south of where my great-grandparents lived in Tarnobrzeg!
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Cool!
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