West Indies, following-on, lost 19 wickets for 261 runs in the day's play as England surged to a 1-0 lead in the three-Test series. Now, with the wicket of Shane Dowrich in West Indies' second innings, he surpassed Botham's tally of 383 Test wickets.
In terms of Englishmen, only James Anderson, with 492, now has more Test scalps than Broad's 384 after the 31-year-old took five wickets during the three-day rout of West Indies at Edgbaston.
West Indies, who now have lost both their day-night Tests - previously against Pakistan in UAE - started the third day with a first innings score of 44 for one.
Broad was the most successful bowler with three wickets, while Anderson, Roland-Jones and Moeen took two wickets apiece.
On paper, the system came up with the notion that each nation would play every team in their division at least once over the course of a two-year cycle, with a promotion and relegation-based system similar to club football.
"I really don't like being left", he said. "It is just sad to see a once-proud cricket Test team lower than any I have ever seen before".
Significantly for England with the Ashes in Australia looming at the end of the year, both of its leading test wicket-takers of all time are still playing.
The West Indies plight worsened slightly after the match when Braithwaite, 24, was officially ruled to have a suspect bowling action, which must be investigated within a fortnight.
Cook, who won the man-of-the-match award for his epic 10-hour 243 that had set up the win, said with a smile: "This is unbelievable for an old man like me".
"I have a lot of cricket left in me", Broad told reporters.
When Stuart Broad is on one, he is properly on one and there was no better demonstration of that than when Australia arrived in Nottingham for the fourth Ashes test of 2015. Holder couldn't hide his disappointment after the thrashing - "It's been a tough few days ... we just weren't up to scratch", he said - but he continues to talk the talk, or to whistle in the dark, as the case may be.
Broad viewed the 40-minute spell as his best of the summer and credited some calming words from Alastair Cook after his first ball of the day induced one of his equally trademark "celebrappeals" upon trapping Kieran Powell in front, only for the umpire Sundaram Ravi to say no and find support from the review system that showed the ball clipping leg stump, but not by enough.
"There is no one there to teach them".
Only Jamaican Blackwood, who struck a six just before lunch to go with his seven fours, stood firm, his counter-attacking unbeaten 60 coming off just 56 balls.
Johnny Grave, the English chief executive of what is now Cricket West Indies, accepted an "awful" amount of work was required to restore the team s Test fortunes.
Broad was back out of the side for the next match in Sri Lanka and despite playing 6 tests in England the following summer, he only played once on the tour to India. We'll share a bottle of wine later in the week. "I'm really enjoying being a part of this team at the moment".