Everton were typically stubborn to break down in their 4-5-1 system and spells of possession came to little in the first half. The best chances arrived via Michael Dawson headers - one cleared off the line, one savedby Nigel Martyn.
The second half was following a similar pattern when a header finally hit the target after 57 minutes as Mido brilliantly glanced home Jermaine Jenas' cross.
Seven minutes later and it was 2-0 thanks to Jermain and Jermaine - Defoe crossing perfectly from the left for Jenas to guide his header beyond Martyn.
The three points lifted us up to second place in the Premiership and Head Coach Martin was naturally delighted.
"It's very tough to play the way we play against Everton," he reflected.
They play a very complex system and are a very difficult team to play against
"In spells we passed the ball well and we tried to get the ball out wide to Lee Young-Pyo and Aaron Lennon because that's the way you have to do it.
"It's a problem in the first half if you get frustrated and the message at half-time was to be patient.
"Everyone was getting frustrated but I said there was no need to because we were doing well and when we got the ball out to the flanks we did something.
"We said at half-time that an opportunity would come and we knew we needed to score the first goal. We did that and I'm delighted we scored with two headers because we haven't done that for a while.
"Aaron did well again and Lee gives us something different going forward and I think that's what we need."
Martin Jol said patience was the key to Saturday's 2-0 victory against Everton at the Lane.