Full-time: Shrewsbury Town 0 Scunthorpe United 1
Leon Clarke's second goal in as many games earned Scunthorpe United their first win of the season.
The on-loan Charlton Athletic striker headed home from Karl Hawley's perfectly-flighted pass in the fifth minute to ensure the Iron became the first side in 35 matches to win at the Greenhous Meadow.
Despite their struggles in previous weeks, Scunthorpe were composed both with and without the ball on their first visit to Shropshire since they clinched promotion from League Two in 2005.
Indeed, United could have won by a much bigger margin had they converted further from a series of first-half chances. Instead they needed just the one goal, seeing the game out comfortably when Shrewsbury tried to up their pressure late on.
Scunthorpe's early goal was the highlight of what had arguably been their brightest start to a match this season.
With something to aim at up top, having brought in Clarke and Hawley for Mike Grella and Connor Jennings, they moved the ball forward with pace and purpose, targeting either the head or chest of their new-look front two.
Hawley had already flicked a header wide following a mix-up between keeper Chris Weale and defender Ruben Hazell, before his delightful chip across the penalty area allowed his strike partner to head home.
Scunthorpe bossed the opening quarter, with the trickery of Mark Duffy their best attacking outlet.
The former Morecambe man had been struggling with a virus in the build up to the Iron's first-ever trip to the Greenhous Meadow. But his craft and willingness to run at the home defence instead had the Shrews feeling sick.
Duffy crossed for Hawley to head over the bar in the 11th minute, before later wasting a great opportunity to get his own name onto the scoresheet when he blasted wide with his left foot from a chance solely of his own making.
Shrewsbury should have levelled in the 24th minute, but rookie striker Tom Bradshaw rolled a shot wide from a tight angle after capitalising on sloppy defending by Niall Canavan.
It was the only scare Scunthorpe had to endure during the opening 45 minutes and they ended the half on top.
Duffy came agonisingly close to doubling the visitors' lead following Hawley's low pull back, but his stabbed shot from close range was brilliantly beaten away by Weale.
The second half was a much more even affair – but still it was Scunthorpe who looked the livelier going forward.
Hawley's shot on the turn at the near post, following a right-wing centre, was pushed behind by Weale to earn the Iron a corner as they continued to push for a second.
And at the other end of the field, Sam Slocombe got down to hold onto a shot following a strong run forward by Shrews full-back Jermaine Grandison.
With Duffy becoming frustratingly isolated out wide, Scunthorpe opted instead to try to play through the middle.
In the 57th minute, Clarke came agonisingly close to doubling his own and the Iron's tally. He showed great composure to work a shooting opportunity by taking the ball around Weale as the home stopper went to ground, but defender Darren Jones brilliantly blocked away the resulting effort from on the line.
The final 10 minutes were a big test of character for the Iron on the back of their difficult opening to the campaign.
But they stood firm – and forced a succession of corners – to see the game out and pick up a precious three points.
The victory earned Iron manager Alan Knill a unique double after he had been the last visiting manager to win at the Greenhous Meadow when in charge at Bury way back in March 2011.
He must wish his side could play there every week.
SHREWSBURY: Weale, Grandison, Jones, Hazell, Purdie (Wildig 68), Parry, Summerfield, Richards, Wright (Doble 87), Morgan, Bradshaw (Hall 68). Subs not used: Anyon, Jacobson, Hector, Gornell.
SCUNTHORPE: Slocombe, Ribeiro, Mirfin, Canavan, Newey, Prutton, Duffy, Walker, Ryan (Sedgewick 90), Hawley (Jennings 88), Clarke. Subs not used: Severn, Gibbons, Barcham, Grella, Keegan.
ATTENDANCE: 5,623 (278 away).