Ann,
Further to luimneach reply which I toatally agree with, I had another look at the Griffith's valuation for Finucane in Co. Cork and indeed it appears they only came from two places.
There was....
Cornellius Finucane, snr and Jnr, John Finucane Snr and Jnr ,Michael and Thomas Finucane all from the Parish of Kilmeen in the townland of Glentanefinnane.
In the Civil Parish of St.Annes Shandon there was...
Matt Finucane, Shandon Street,
Matthew Finucane, Philpot's Lane
Matthew Finucane, Shandon Street
Thomas Finucane, Shandon Street
These were the only ones which I could find in all of Co. Cork.
John...Sydney