Perhaps the Express's quote should have read,
"The Tudors ruled England during one of the most famous periods of British history."
That would have been a sensible admission that things hadn't just stopped happening elsewhere in these islands of ours. It is claimed, for example, that Henry wasted all of the vast riches he had obtained from the dissolution of the monasteries in England on the "rough wooing" in Scotland.
According to The Oxford English Dictionary, the name, Britain, as Kempie suggested, was first recorded in English in 855 AD whilst that of England dates back only to 890. A millennium earlier, the Greeks and Romans referred to us as Britannia, so there is little doubt as to which is older.