The Puritans did not formally seek to separate from the Church of England nor repudiate it. They critized its practices and ceremonies as too similar to those of the Catholic Church and asked to get rid of any rituals not found in the Bible. They were a religious reform movement in the late 16th century. Under pressure from the church and the crown , they departed for the New World to found colonies there.
The civil war is most probably one of the best researched conflicts in world history. However, there is still a lot of space for discussion and speculation.
