And, admittedly, the visitors were helped by one glaring second-half miss from former Argyle striker Sylvan Ebanks-Blake.
Sylvan Ebanks-Blake added a second just before the break and was involved in the third on 56 minutes.
Sylvan Ebanks-Blake twice sent a shot narrowly wide but Wolves had done enough to move out of the bottom three.
But Kevin Doyle and Sylvan Ebanks-Blake missed good chances with headers from corners, while Christophe Berra misdirected his header from a free-kick.
Michael Kightly, Sylvan Ebanks-Blake and Richard Stearman are part of the England Under-21 squad to take on the Czech Republic at Bramall Lane.
Fittingly the winning goal was bagged by striker Sylvan Ebanks-Blake, the club's top scorer this season, who claimed his 25th goal of the campaign.
The introduction of Sylvan Ebanks-Blake and Kightly at half-time breathed new life into the home side as rain began to fall in the Black Country.
At the other end Doyle saw a header clawed off the line by Schwarzer and Sylvan Ebanks-Blake rifled into the side-netting in a richly entertaining second half.
Sylvan Ebanks-Blake had a shot saved by the legs of Thomas Sorenson and Fletcher was then denied by some desperate defending having danced his way around two tackles.
The winger was unmarked at the far post but slipped and sliced his shot wide after Keogh's shot deflected into his path off former Argyle striker Sylvan Ebanks-Blake.
McCarthy made a change at half-time, throwing on Sylvan Ebanks-Blake to join Doyle up front and the duo almost combined for a goal as Doyle's low cross flashed just beyond the reach of his strike partner.
The home side adopted a route one approach when Marcus Hahnemann's long kick was flicked on by Kevin Doyle and Sylvan Ebanks-Blake wriggled clear of the commanding Zat Knight, but he tried to punch the ball into the net, only to see his effort rebound off a post and he was lucky to escape punishment from referee Peter Walton.
And Martinez believes Scotland, whose 16 league goals see him behind Wolves' Sylvan Ebanks Blake and Reading's Kevin Doyle in the Championship goal charts, can still play in the top-flight.
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