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Cathrine in Polish is Katarzyna, but I'd avoid that -rz- combination if I were you. Katarzynski is a Polish surname, but remember Polish surnames have male and female forms, Katarzynska is the feminine.
Here's something you can try.
Go to www.herby.com.pl (all in Polish, I'm afraid). At the top of the homepage you'll see the words "slownik nazwisk"; click on there and you'll get a search engine. Type the word "Kat", and see what you get - every Polish surname beginning with those three letters! Take your Pick.