But their stubborn resistance lasted for 60 minutes, until Scharner scored his fifth goal of the season.
Paul Scharner's 14th minute strike put Wigan ahead, but Jon Stead's header put the Blades level after 38 minutes.
Paul Scharner seemed to have the freedom of the City box and could have had a hat-trick of headers.
The delivery found Scharner, who leapt, and from fully 16 yards, headed the ball past Thomas Sorensen's outstretched left hand.
Paul Scharner's spectacular first-half header from just inside the box looked to have put Wigan on course for a win.
Hodgson responded by withdrawing midfielder Paul Scharner and bringing on striker Cox, who repaid his manager's faith with a sublime equaliser.
Boyce and Scharner played key roles in last season's successful battle against relegation, while Mike Pollitt provided back-up to keeper Chris Kirkland.
Paul Scharner's diving header was well saved by keeper Paul Robinson and Kilbane headed over with a gaping goal in front of him.
His bustling style caused problems for the City backline, and Croatian right-back Vedran Corluka had to make an athletic block from a Scharner effort.
Scharner then headed over the top, before Wigan suffered a blow after 31 minutes when captain Arjan de Zeeuw limped off with a calf injury.
Carroll made a fine double save to palm out Heskey's header and then tip away the striker's follow-up but could do nothing about Scharner's far-post effort.
Leighton Baines netted a penalty in the third minute of injury-time after Emmerson Boyce fouled striker Jo, with Louis Saha having canceled out Paul Scharner's opener for Wigan.
Scharner pounced on the hour mark to turn the ball in at the far post after Emile Heskey's close range effort was parried by Derby keeper Roy Carroll.
Kilbane atoned for his miss when he headed in from eight yards shortly after Denny Landzaat and Scharner had gone close for the home side early in the second half.
West Brom, who had not won at Goodison Park in their previous 11 attempts, were comfortable victors thanks to goals from Paul Scharner, Chris Brunt, Somen Tchoyi and Youssouf Mulumbu.
BBC: Referee got key decision wrong, says Everton boss Moyes
Wigan grabbed an equaliser, their first goal in four games, when Koumas jinked down the left touchline to cross precisely for Paul Scharner to head home powerfully at the back post.
It's just like old times as Blackburn score twice from set pieces to see off the fragile Baggies, while Nikola Kalinic blights an impressive display with an ugly challenge on Paul Scharner.
Valencia dispossessed Tal Ben Haim on the left flank and played the ball into Folan, whose first-time flick allowed Paul Scharner to cross and Heskey bundled the ball home from close range.
Austrian Scharner broke the deadlock in the 57th minute as he headed home Charles N'Zogbia's right-wing cross, then Jordi Gomez hit Everton's woodwork, but French forward Saha leveled on 62 when he nodded in a Baines corner.
Goals in each half from Stewart Downing and the fit-again Emile Heskey, both from Marc Albrighton crosses, ensured that Paul Scharner's late header counted for nothing as the impressive visitors pushed the hosts hard at Villa Park.
BBC: Gerard Houllier 'relief' after Villa win over West Brom
Hull looked capable of soaking up everything the home side could throw at them until substitute Scharner knocked down a deep cross into the area in the third minute of stoppage time, and Gohouri turned the ball in.
Scharner had a shot blocked while Cech, playing with a special chin strap to protect the 50 stitches he had in a facial wound last week, made a smart save at his near post to deny Antonio Valencia.
Openings for Liverpool were proving rarer to spot, though Yossi Benayoun's trickery saw him break clear and tee up Gerrard, who was unable to get his shot on target after his initial effort was blocked by Paul Scharner.
Liverpool might have dominated possession in the second half but Wigan always threatened on the counterattack with N'Zogbia scampering clear and wriggling a shot past Reina, who was relieved when Scharner was unable to force the ball home at the far post.
Ba, making his first West Ham start following his move from Bundesliga side Hoffenheim, got the goal when he latched on to Noble's ball into the danger area and, under pressure from Paul Scharner, Ba chested the ball down and turned it in from close-range.
应用推荐