Genealogy / What does my Polish name mean? [401]

[Moved from]: Looking for info about Lawarik (Lavarik) family

I am trying to find info about my father and his family, his name is Gregor(George) Lawarik pronounced Lavarik, born in Lemberg, 1910, his parents were Wasil Lawarik and Maria Jonizka, he married my mother in 1939 in Lemberg and came to Australia in 1948 as a displaced person. I found this info from immigration documents from Australian National Archives and Red Cross International tracing service, I cannot find anything else about them. I would be grateful for any help or suggestions or maybe someone recognises the name.

Regards
Lidia