Anderson heads the Jags through
Gary Caldwell called on his Partick Thistle side to make the most of their Scottish Cup chance.
A second-half Steven Anderson header fired Thistle into the quarter finals.
And Caldwell – an FA Cup winer with Wigan – wants his players to savour their run.
He said: “I’ve said to the players not to let this opportunity pass them by.
“In your career you don’t get a lot of chances to get to the latter rounds. “This game was a big opportunity for us and we showed in the desire and the character that they really wanted to win this .”
The Fifers were full of confidence ahead of kick off, having already beaten Thistle in the Irn-bru Cup this season.
Boss Darren Young set his side up to attack their Championship visitors, starting strikers Anton Dowds and Rory Currie.
And the home side started well with Currie’s neat flick into the box nodded a foot wide by Liam Watt.
At the other end, Christie Elliot was keen to get forward, and his looping header dropped narrowly over Brett Long’s crossbar.
A vicious wind whipping across Bayview made life tough for both sets of players.
It contributed to passes sailing out of play and crosses drifting over the bar.
But both teams did their best to combat the conditions and Daryll Meggatt was next to go close for East Fife.
Aidan Fitzpatrick then showed some neat skill inside the box for Thistle and got a shot away which Long smothered.
East Fife started the second half brightly and should have taken the lead when Watt’s corner found Watson unmarked at the back post.
The defender appeared to be caught in two minds, though and, rather than