It was the home side who started Saturday's game the brighter and they opened their account early on with Warren powered though to smash home past Harps 'keeper James Gallagher with just four minutes gone on the watch.
On 26minutes Gallagher was on hand to deny Graham Cummins from doubling the advantage with a superb save after the Cobh attacker broke clear.
The southerners would have to wait until shortly after the hour mark to extend the advantage and it was former Irish underage international Warren who was again on target after latching onto a free kick by Kevin Murray with the Harps defence in no -man's land.
Just two minutes later, Harps' evening got worse as Warren's got better with the in-form striker getting on the end of Alan Carey's cross to blast home off the under side of the crossbar.
The best chance of the game for Harps fell the way of Davitt Walsh, but the young attacker fired over the crossbar after a free from Gorman was spilled by the Cobh 'keeper summing up yet another night without reward for his side.
With just two games remaining in what has been a luckless term for the Finn-siders, Harps now look forward to facing title hopefuls Shamrock Rovers at Tolka Park on Friday night next.
Finn Harps: James Gallagher; Shaun McGowan, Jonathan Minnock, Eloka Asokhu, David Bell; Anthony Gorman, Michael Funston, Barry Curran, Matthew Crossan; Jonathan Gallagher, Davitt Walsh. Sub: Gary Crossan (for Bell).