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You are out of luck for all but the very end of the period you describe. Congregational hymn singing was strongly frowned upon in the Anglican Church until popularized by Isaac Watts (1674-1748) in the early 18th century.
Watts led by including new poetry for "original songs of Christian experience" to be used in worship, according to Marini. The older tradition was based on the poetry of the Bible, notably the Psalms.
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Watts was not the first Protestant to promote the singing of hymns; however, his prolific hymnwriting helped usher in a new era of English worship as many other poets followed in his path.
Here is The Anglican Hymn Book (Second Edition) (1871) which may assist in tracking older Anglican hymns.