Premier League - Taylor wonder goal sinks Everton
Taylor thumped home a stunning volley from outside of the Everton box on 29 minutes after Jonny Heitinga had scored an unfortunate 12th-minute own goal to gift the home side the lead.
Jack Rodwell headed home from close range in stoppage time in the first half to give Everton fresh hope, but despite dominating large swathes of the second period, the visitors could not find a second as a leggy Newcastle held on for a win that extends Alan Pardew's side's remarkable start to this season.
Toon lie six points behind leaders Manchester City, who beat QPR 3-2 later on Saturday.
Everton could and should have earned a draw from this match, but paid dearly for some key errors.
Everton continued to give as good as they were getting with Tim Krul diving to halt a Rodwell header on 21 minutes before Leon Osman drilled a shot straight into the arms of Krul from Royston Drenthe's cutback.
The chances continued to come for Everton as Saha lifted a shot over the bar after he raced through on goal before Newcastle - who were unfortunate to lose Yohan Cabaye to injury on 38 minutes - moved two goals ahead.
There appeared little danger to the visiting side as Ryan Taylor collected a loose ball outside of the visiting box, but the home player walloped a glorious volley over Howard that the Everton keeper was helpless to keep out at full stretch.
He dedicated the goal to his newborn son as the home fans celebrated like there was no tomorrow sensing second spot in the table.
To their credit, Everton stuck to the game plan but were desperately unlucky when Saha's shot hit off a post before spinning to safety.
Everton were hit with a real blow when skipper Phil Neville was forced off injured five minutes before the break, but they got their rewards when they netted a minute into two added on in the first period.
Drenthe whipped in a corner with some pace and Rodwell sent a header flying past Krul to make it 2-1 with the last action of the first half.
Newcastle seemed to feel the effects of their 3-1 win at Stoke on Monday in the second period as their play began to grow increasingly scruffy.
Despite looking leggy, Newcastle showed why they have the best defensive record in the Premier League in conceding only eight goals now in 11 matches.
Everton should probably have had a penalty when Dan Gosling handled Saha's shot on 54 minutes in his own area, but the referee missed it, much to the relief of the home supporters.
Visiting substitute Tim Cahill drove a shot at goal from distance around the hour mark, but Krul dived to make a comfortable save as it became evident that despite much huffing and puffing, Everton again did not have the cutting edge to blow Newcastle's house down.
Everton have now gone eight league games without a clean sheet, and remain a lowly 16th in the table.