this may help:
this site is rubbish - it states there are only 28 people called Dąbrowski in Poland which is clearly false
well, if you will be able to give more detail of where Czarna Woda was since Poland lost much of the pre-war eastern territories - there is Czarna Woda in Poland now in Pomorze (województwo pomorskie) but I would not be surprised if there was another one in territories now not belonging to Poland
Wroclaw:this may help: this site is rubbish - it states there are only 28 people called Dąbrowski in Poland which is clearly false
sorry - there are 28 Dabrowkis according to the site not Dąbrowskis - there are plenty of Dąbrowskis in Poland - so actually the site maybe all right