Despite his side's struggles in the longest format in recent years, Holder believed such performances were always within West Indies capabilities, and hailed the victory as just rewards for some previously unheralded toil.
I think we were all tricked by the pitch, we thought it was going to get worse and worse but it was flat as a pancake for the last two days - hardly anything happened.
Stuart Broad had a hand in both wickets to fall on the final morning at Headingley - literally in the case of a freakish run out of Kyle Hope - but Kraigg Brathwaite escaped two dropped catches to continue his outstanding match. Moeen failed with an lbw review on Shai Hope, who made his century in 175 balls and was also dropped by Cook on 106.
"The declaration was a positive thing to do, we want to win Test matches, when you get the opportunity to try and win you take it".
England needed a lift and got it just before tea when Brathwaite drove at a wide delivery from Ali and edged into the hands of Stokes at slip before leaving to a standing ovation.More news: Transgender vet dismayed by President Trump's military ban
As the day wore on, Alastair Cook's early miss, dropping Brathwaite at first slip off Broad with the Windies on just 11 without loss, had looked ever more costly.
With England having set a formidable target - the Windies started the day needing 317 with all wickets intact - on a turning pitch and under cloud cover, the two young batsmen negotiated their testing examinations superbly. Brathwaite's 180-ball innings, including 12 fours, meant the opener had batted for more than 10 hours in the match.
England's captain Joe Root (right) talks to Stuart Broad (left) and James Anderson (centre) during day five.
There have been 534 first-class matches at Headingley and amazingly, though some greats of the game at Yorkshire, England and beyond have played at this world famous ground, no one had recorded a hundred in either innings.
He then survived a potential stumping as Blackwood, who was put down by Stokes in the deep, took off his helmet in preparation for scoring the winning runs only to be stumped off Moeen with two required.
The final match will now be played at the iconic Lord's from September 7.