Hi, What is your source of information for the name that you mention SWERDLYK. Original may begin with the letter C
http://mylanguages.org/ukrainian_alphabet.phpThere are many Ukrainians - in the Prairie Provinces - Alberta, Manitoba and Saskatchewan. As well Ontario.
Have you posted to any of those message boards with your quest?
At the mail list Infoukes -genealogy - there are Experts who should be able to help. You would have to subscribe - temp. no cost.
Depending on where you live -there may be a Ukrainian community centre, church etc - who may be able to give you an idea
Cheers, Stella