His daughter Mary (Irish: Máire) was captured by a pirate named Ali Krussa and sold into the Barbary slave trade.
Fineen was also brother-in-law to Donal II O'Donovan and the two together with Owen MacCarthy Reagh's family are all noted in collaboration on numerous occasions.
The O'Driscolls were a rich and powerful clan and their landholdings stretched over much of south Cork, from Cape Clear and the nearby islands, through Baltimore to Castlehaven.
Ships who traded or fished in clan territory without paying were considered both trespassers and fair game for acts of piracy by O'Driscoll war galleys.
Like other Irish and Scottish clan chiefs of the same era, however, Sir Fineen would have been honour bound to use the money gained to provide for and feed his clansmen and their families.