Broad went above Botham after collecting his 384th scalp by castling Shane Dowrich to help England crush West Indies by an innings and 209 runs inside three days of the inaugural day-night Test on these shores.
West Indies has more day-night test experience than England having played one against Pakistan in Dubai past year.
Resuming on 348 for three in the first day-night test in England, Cook and Dawid Malan smoothly extended their fourth-wicket partnership to 162.
But from then on it was one-way traffic, with Anderson making early inroads in both innings as West Indies, made to follow-on by Root, were skittled out for 168 and 137. So maybe that is what is needed at the moment, a radical overhaul of the county circuit in England and how players are being produced in order to revamp the Test squad and make it successful for years to come.
James Anderson made the initial inroads having Kyle Hope (25) caught in the slips without adding to his overnight total.
Alastair Cook was named man of the match for his big double hundred in England's first innings effort of 514/8. Blackwood's two-hour innings saw him face 76 balls, with nine fours and two sixes. As recently as 1996, Tests in England had a rest day.
Stuart Broad described it as a "very special day" after he overtook Sir Ian Botham to become England's second highest Test wicket-taker of all time.
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While they have been given experience of playing with the pink ball, a poor West Indies side do not look likely to provide any sort of examination before the tour of Australia.
Cook England's all-time leading Test run-scorer, and Root dug in, however, and took advantage of good batting conditions and wayward bowling with a flurry of crisp boundaries to give their side a solid platform. Their bowling attack, spearheaded by Shannon Gabriel, who head coach Stuart Law reckons is the fastest bowler out there, has been supplemented by the return of Kemar Roach, back and firing off the back of an exceptional first class season for Barbados.
The tourists will start day three 470 runs in arrears at the earlier start time of 1.30pm after rain brought day two to a premature close just before 7.30pm.
"It's just constant drinking", said Greg Hesson, a Warwickshire member in the Hollies Stand who reckoned the atmosphere the most rowdy he had ever seen here, outside an Ashes Test. For the second time this innings, the West Indies had to review a not out decision from South Africa umpire Marais Erasmus to confirm the dismissal.
As for Broad's milestone, who was given his first Test cap by Botham in 2007, Root spoke about how the 31-year-old has achieved so much already and has set the standard, along with Cook and Anderson.
But West Indies did have a success on the stroke of lunch when Chase had Malan caught at slip.