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.
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.
Paul Scharner's diving header was well saved by keeper Paul Robinson and Kilbane headed over with a gaping goal in front of him.
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.
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.
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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.
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.
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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.
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.
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