Blackwood had previously looked like a walking wicket, which could have exposed West Indies' lower order with a decent sum of runs still to be scored, however Root's rush to take the new ball ultimately allowed them a modicum of comfort.
Hope added: "I'm just pleased to get the win".
His second-innings century came under extreme pressure, too.
The pair put on 144 for the third wicket, a stand that pulled West Indies around from danger at 53 for two in the morning session and laid the foundation for the successful run chase. Fifth day, on a used wicket against high-quality bowling, great knock [from Shai Hope].
That punishing defeat came with Andrew Strauss as experienced in leadership as Joe Root was this week and the current skipper's boss will do well to offer a reminder that one defeat does not a captaincy make.
Shai Hope, who hit hundreds both innings, and Kraigg Brathwaite, with scores of 134 and 95, were the chief architects of the win.
This was a win that was nearly founded on the back of a much improved bowling performance, the returning Shannon Gabriel combining well with Kemar Roach to ensure England's first innings ended at 258 all out - a figure that could have been much lower with England's only significant runscorers, Joe Root and Ben Stokes, both dropped early on in their innings.
West Indies last won a test in England 17 years ago, but more than just ending that dire run in England, this was one of the team's most memorable triumphs anywhere. The result levelled the series at 1-1 and completed a huge swing in fortunes, after West Indies' innings defeat in Edgbaston, as well as compounding England's reputation for inconsistency as a Test side. The batting looked inept as the side folded twice on the same day to lose the game.More news: Simon Cowell addresses crude 'wedding night' aimed at Mel B
The 24-year-old then proceeded to cash in on his good fortune, and after Kyle Hope had been unluckily run out backing up by Broad, combined once again with his partner from the previous innings to lead their team towards the target.
"What a five days", Law told Sky Sports. It would be a shame for them, having done so well for so long in this match, if they didn't put up a show on day five.
There is no doubt a lot of talent in this England side. While England's bowlers, particularly Moeen Ali, were disappointing on the final day, the West Indies batsmen were outstanding, securing their first win over England in England since 2000.
No, not England's Headingley reverse against the Windies, but the infamous innings-and-23-runs capitulation in Kingston in 2009.More news: Bannon backing Moore in Alabama Senate runoff
With the West Indies in cruise control, England were beginning to worry as the tourists were edging ever closer to victory.
The Essex batsman, who made a half-century on his Test debut against South Africa at The Oval last month but has averaged 20.14 from seven innings, will get another chance to prove he deserves a spot for the Ashes series in Australia. Liam Dawson then took four wickets on a pitch that started exceptionally dry, briefly earning himself the official title of England's first-choice spinner, and Mason Crane is in the squad this time, buoyant after his leaping catch as sub at Headingley on the final afternoon.More news: Moscow urges Qatar and Arab states to abandon bellicose rhetoric
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