Sorry... I don't know if any of my grandmother's family went to Canada. The only names I have are Hema born 1888, and her mother Olena. I know both were born and died in Ukraine (USSR). That's not to say that they aren't connected to your Kuliks... I just don't have a lot of info on mine.
Hema had three children with Samson Wasiuchno: Natalya b. 1906, Ivan b. 1914, and Hania (Anna) my grandma b. 1923. If these names ever cross your path again, please let me know!