Hi Eleanor,
Thanks for joining us here on the Community. It's great that you are interested in researching your roots!
Since you have an approximate date, a name, and a location, you may be able to find a birth or marriage certificate for your great-grandfather and take it from there. You can check out the Civil records of non-catholic marriages from 1845, using the
Irish genealogy website. For instance, I found three results for James Johnson in the 1890's.
Now I don't know any websites for Jewish ancestry, but I'd suggest contacting genealogy centers in County Cork to make an appointment with a genealogist.
The Roots Ireland website lists most of them.
Best of luck!
Antoine