The West Indies put up a lacklustre performance as they lost 19 wickets for just 261 runs.
The Notts star passed the legendary Beefy's number during one of his irresistible surges when nothing - least of all hopelessly outgunned West Indies batsmen - could stand in his way.
West Indies began the day on 44 for one in their first innings in reply to England's massive 514 for eight declared but capitulated quickly to be all out for 168, half-hour after lunch.
"He is passionate about English cricket and you can tell he wants us to do well".
The former skipper's fourth double-century in Test cricket has seen him climb six spots to sixth on the Test batting charts. He is now only second behind his opening partner James Anderson on the all-time England list and is confident of adding plenty more.
When David Saker was England bowling coach he said Anderson was the most skilful bowler in the world and I know exactly what he means now.
I would say both are hard to captain and Joe Root is perhaps still coming to terms with dealing with them, unless his style is to be defensive. "There's been some great memories along the way, certainly".
Despite his advancing years, Anderson's form this summer has been stunning, following up his 20 wickets at 14.10 during England's 3-1 series win against South Africa with another five at Edgbaston.
Chris Broad, now an International Cricket Council match referee, was delighted by his son's latest landmark display. I have a checklist at the end of each day and wickets doesn't even come into it because you can bowl really well and not get wickets. Toby Roland-Jones, the new man in the seam attack, finished it off when he forced an outside edge from Alzarri Joseph.
Broad seems to have matured over the last couple of years.
"I never saw any aggression from the West Indies players throughout the three days".
In the grand scheme of an excellent career, Stuart Broad's figures of 3 for 32 at Edgbaston might look pretty unremarkable.
Botham has five Ashes series wins, but England will hope Broad, who already has four, will now be inspired to surpass him once again come 2019.
"It is a cricketing tragedy to see the West Indies like this".
At Edgbaston, the West Indies quick bowlers were wayward and unfocused, allowing Cook and Root to score at will. West Indies' best partnership of either innings was 45.
Meanwhile, the privately run Caribbean Premier League Twenty20 tournament is continuing at home while a three-Test tour of England is in progress.
One of the mistakes the higher-ups made was to impose a draconian eligibility criteria on the national side, with those not appearing in the domestic 50-over competition unable to represent the side.
The margin of the West Indies' defeat was the biggest in tests for two years, with the last on this scale also involving the West Indies, when they lost by an innings and 212 runs in Australia in December 2015.