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The claim that he was a black scholar appears in a black British history presentation distributed by Twinkl.
Another Twinkl resource used in schools, a timeline for KS2 pupils covering The Black History of Britain, includes Hadrian as its second entry.
Hadrian has also been included in a black British history teaching resource for secondary school provided by HFL Education, an educational support service part-owned by Hertfordshire Council, and a similar timeline created by the Surrey borough council of Spelthorne.
He also features in an online teaching resource provided by English Heritage titled Black Lives in Britain.
Hadrian died in 710 and was buried at his Canterbury monastery.
Director of the race relations group Don’t Divide Us said: "The compulsive search for ‘lost’ black Britons is not only embarrassing, but it weakens and distorts the truth value of the claim being made.
"This is bad enough for content aimed at adults. For school purposes, where the main aim is to educate the young, it is unconscionable.
"What kind of society is so casual about curriculum content, that it either thinks political interests supersede educational ones, or it can’t tell the difference anymore?"
Historian Dr Zareer Masani added it was: "absurd that wokedom is reaching across millennia to claim people of colour."
St Hadrian of Canterbury is credited for playing a pivotal role in the early history of the English Church.
He was abbot of the monastery of St Peter and St Paul (later St Augustine’s) in Canterbury, between 670 and 710.
While there, he became an influential teacher and scholar shaping Christian rituals.
Twinkl has been contacted by GB News for a comment.