Cook spent nine hours and 22 minutes at the crease in compiling a stubborn 243, spanning 406 balls, before his dismissal during the second session on day two here sparked England's first-innings declaration on 514 for eight.
Joe Root entered Test cricket's fearless new world with a familiar onslaught of old-school run-harvesting, as he and his senior statesman, Alastair Cook, made light of another flimsy top-order showing from their new boys to rack up an imposing 176-run stand that has already spanned the best part of three-and-a-half hours.
Only two deliveries all day truly troubled any of the batsman, and both claimed wickets in the early stages of the day, as England's unstated ambition of using this series to resolve their top-order issues in good time for the Ashes received an early reality check.
Cook, opening the innings, built two hundred-plus partnerships with Joe Root and Dawid Malan respectively.
"We didn't have one of our better days". The atmosphere was electric and for Cooky to be 150 not out is great..
South West trains 'strongly advise' commuters not to use services tomorrow
London Ambulance Service (LAS) said it checked over three people but nobody was injured when the train partially left the tracks. Numerous trains running have been cancelled or are are stopping or starting short of the station, the rail operator said.
Coming into the game, many England players admitted that the team were heading into uncharted territory since they had never featured in a day-night Test before. "We were poor. If you are conceding 53 boundaries in a day it shows a lack of discipline", Windies bowling coach Roddy Estwick said.
Root (103no) then followed him to that milestone and in doing so brought up a new national landmark of his own by posting at least a 50 in a record 11th successive match. Initially couple of wickets fell for England in quick succession where Stoneman and Westley scored 8 runs each.
The in-form Toby Roland-Jones kept his place as third seamer ahead of Woakes, with Stoneman the 12th man to partner Alastair Cook at the top of the order since former captain Andrew Strauss retired five years ago.
After lunch, Root went to an 83 ball-fifty when a flashing cut off opposing skipper Jason Holder flew through the slips for four.
Cook, whose stand with Malan was worth 162, was still there at lunch on 213. Westley was lbw to Miguel Cummins after a successful decision review by West Indies. Jermaine Blackwood took his second catch of the day at slip to dismiss Stokes.
West Indies' young attack produced the odd excellent delivery but served up far too many boundary balls as Root and Cook tucked in, to reach the first interval at 108 for two.