Thanks for the answers!!

then, if I have understood well, there are different villages around Lvow and Rava Ruska that they could correspond to what I am looking for. unfortunately, my grandmother is dead in 2003, and therefore she cannot furnish me anymore useful information.
what my family and I are trying to understand is as to retrieve information in Ukraine, for example in consulates, files, newspapers....as it would be better to stir?
I don't know really from whether to begin, luckily on this site I have found people prepared to help me, however I don't know the Ukranian and little the English, is studying from little Russian. I would like to come in Ukrainian, one day and to see the places in which my grandmother lives......
Are they still these villages there?
yes, I am proud of my origins!