An article on cracked.com about coincidences includes a newspaper clip taken from the The Scunthorpe Evening Telegraph on July 21, 1975:
Erskine Lawrence Ebbin was knocked down by a taxi and killed in Hamilton, Bermuda — and it was the same taxi with the same driver, carrying the same passanger, that killed his brother Neville in July last year.
And both brothers were riding the same moped and died, aged 17, on the same street, police said.
It is remarkable in that it includes the full name of both brothers (Erskine Lawrence and Neville Ebbin) and the city in which it allegedly happened (Hamilton, Bermuda). This means it should be possible to verify the events by checking official records.
It is still possible that the whole story was made up to fill empty space on the page (notice that the Scunthorpe Evening Telegraph is published in the United Kingdom, while the accident is supposed to have happened on Bermuda, difficult to verify for a reader in 1975.)
Based on this, the accident might have happened — unlikely does not mean impossible — but there is no conclusive proof.
However, the Royal Gazette has even more names and the location of the accident:
Reader’s Digest reprints story of 1975 road deaths
A bizarre tragedy reported in The Royal Gazette more than 35 years ago has resurfaced in the pages of this month’s Reader’s Digest.
The July 21, 1975 issue of the newspaper carried a front page lead headlined, ‘Incredible coincidence in road crash deaths’.
The same story appears in the current Reader’s Digest compilation entitled ‘What Are The Odds?’
In an account that has circulated in publications and on the internet ever since, The Royal Gazette reports: “Erskine Ebbin and his brother Neville were killed almost exactly a year apart after being involved in collision with the same taxi, driven by the same driver and carrying the same passenger.”
Both victims were 17, and both were riding the same auxiliary cycle on the same road.
Erskine was killed on the night of July 18, 1975, near the Packwood Home in Sandys; Neville died on July 30, 1974, on the nearby stretch of Middle Road known as Hog Bay Level.
Both were reported to have collided with a taxi driven by Willard Manders.
According to their father, John Henry Ebbin of Woodlawn Road, Sandys, even the passenger in the taxi was the same in both instances.
Now that we have a source from Bermuda itself and a lot of verifiable data I tend to believe that it did indeed happen, though “at the same intersection” and “exactly a year apart” are exaggerations.