Kenwyne Jones pounced on an error from Blackburn goalkeeperPaulRobinson to level before Djibril Cisse converted a Steed Malbranque pass for the winner.
The Ecuadorian broke through the Blackburn defence just before the break but shot straight at goalkeeperPaulRobinson when a relatively simple angled finish was required.
If Bent should have done better with that chance his miss was nothing compared to Danny Koevermans's woeful touch when he only had Spurs goalkeeperPaulRobinson to beat.
Blackburn's response came from an unlikely source as a long free-kick from goalkeeperPaulRobinson - who has twice been on the scoresheet in his career - almost deceived opposite number Gilks.
Spurs boss Jol tweaked his system again, withdrawing Keane to return a 4-4-2, but at the start of extra-time Liverpool again threatened, as Welsh's 95th-minute shot beat England goalkeeperPaulRobinson but not the post.
GoalkeeperPaulRobinson, who pulled off a fantastic save with his feet to deny Salomon Kalou in extra-time, said he was delighted to have picked up a winners' medal for the first time in his career.
Meanwhile, Tottenham manager Juande Ramos is clearly intent on re-shuffling the squad he inherited from Martin Jol when he took over midway through last season with Blackburn linked with a move for England international goalkeeperPaulRobinson.