I don’t see any matches in Kanturk between 1930 and 1940 on irishgenealogy.ie
However, it only goes up to 1940. You’ll need to examine the indexes from 1940 onwards to see if there’s any candidates and then order copies of those marriages. And if not in Kanturk, go further afield.
Have you tried a local newspaper to see if there’s an engagement or marriage notice?