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Girlyfriendcollecting Angles and Saxons were West Germanic people who settled England in the 5th to 7th century from Germanic urheimat, likely near Germany and Denmark. They intermingled with the native Celtic people. Then there was a Viking invasion at a stage to and then a Norman French invasion. Those all kinda intermingled to form the English people.
That said it's important to remember English isn't the same as British. British people include Celtic people like the Scots, Welsh and Cornish.