Not having much luck finding these places. Did you extract the spellings yourself from the passenger list or are you relying on the Ellis Island extractions. The latter are often badly transcribed.
Also what makes you certain that these villages are in Poland. The Austro-Hungarian Empire (in particular Galicia) also included part of western Ukraine. For example, as the other persons posted, there is a Bereznica in the deep SE part of Poland but there is another not very far east of there across the border in Ukraine.
You could try further searches using http://www.jewishgen.org/Communities/LocTown.asp
which allows you to search with a variety of soundex parameters as well as starts with, near to, etc.