Swansea 3 Albion 0
Albion crashed to their fourth defeat in five Premier League games with a no-show at the Liberty Stadium.
Albion crashed to their fourth defeat in five Premier League games with a no-show at the Liberty Stadium.
Newly-promoted Swansea bossed the game virtually from start to finish and bagged their first goals and first win since returning to the top-flight.
A Scott Sinclair penalty and a Leroy Lita header made it 2-0 at half-time and Nathan Dyer completed the Baggies' misery soon after half-time.
And the game ended with a sickening injury to Swans defender Neil Taylor, who was stretchered off in a neck brace and oxygen mask after a clash with Odemwingie, who was booked for his over-aggressive charge.
Albion were 2-0 down at the end of a dreadful first-half display.
The hosts dominated the opening exchanges and were ahead on 15 minutes, when Paul Scharner's clumsy challenge sent Joe Allen tumbling in the box and referee Martin Atkinson awarded a penalty.
Goalkeeper Ben Foster committed himself early, leaving Sinclair to score the Swans' first top-flight goal for 30 years.
Shane Long had a rare Albion shot after intercepting Taylor's pass, but his effort flew over from 18 yards out.
It was 2-0 on 24 minutes when the Baggies switched off horribly at a corner, Sinclair given a free header across the face of goal and Lita nodding home from close range.
The Baggies continued to toil as they struggled to retain possession and Long's long-range shot, that was tipped over comfortably by goalkeeper Michel Vorm, was as close as they got to a first-half goal.
Hodgson made a double-change at the break, with Chris Brunt and Graham Dorrans replacing Jerome Thomas and Youssouf Mulumbu.
But it was 3-0 before the new pair could think about making a match-saving impact.
Lita beat Jonas Olsson to a high ball and his flick-on was collected by Dyer, who stole in behind Nicky Shorey and finished coolly between Foster's legs.
Albion went close when a Dorrans free-kick from 25 yards was tipped over acrobatically by Vorm.
Odemwingie's clash with Taylor brought a lengthy stoppage, as the Swans defender was treated by medics on the pitch.
Then early in a nine-minute period of added time Long had a shot by Vorm, from a Brunt cross.