From Peter Adam, writing in the online journal The Theologian:

At least two groups of writers on Puritanism prefer the theory that Puritans cannot be Anglicans, nor can Anglicans be Puritans.  Some Non-Conformists take this stance because they want to emphasise the gulf between Anglicanism and Puritanism, to show that true Puritanism is found outside Anglicanism. Some Anglican writers take this stance because they want to claim that Puritanism has no place in mainstream Anglicanism.

However Patrick Collinson has shown that Puritanism was part of Anglicanism: ‘our modern conception [that] Anglicanism commonly excludes puritanism is…a distortion of part of our religious history,’ and A. G. Dickens claims that ‘Puritanism in our sense was never limited to Nonconformists; it was a powerful element in the origins of the Anglican Church and it was through that Church that it won its abiding role in the life and outlook of the nation.’

The leaders of Puritan Anglicans included: Archbishop Grindal of Canterbury, who tried to defend Puritan practice against the attacks of Queen Elizabeth; Archbishop Williams of York, author of The Holy Table, Name and Thing, a sturdy defence of the Reformed theology and practice of the Lord’s Supper; and Archbishop Ussher of Armagh, who together with Richard Baxter promoted a Reformed model of Primitive Episcopacy. Nigel Atkinson has shown that Richard Hooker, that great architect of Anglicanism, was clearly in the Reformed tradition, and was closer to Calvin in theology than some of his Puritan critics. Even in the days of the Commonwealth, 300 Episcopal Puritans [called ‘Evangelicals’ by a contemporary writer] used to meet regularly in Oxford for Anglican worship…

Just a reminder of the heritage we contemporary Evangelicals ought to live up to, or to which we ought to live up.