Here it is called "residues of Roman Catholicism".
"Puritans were English Protestants who wished to reform and purify the Church of England of what they considered to be unacceptable residues of Roman Catholicism. In the 1620s leaders of the English state and church grew increasingly unsympathetic to Puritan demands. They insisted that the Puritans conform to religious practices that they abhorred, removing their ministers from office and threatening them with "extirpation from the earth" if they did not fall in line. Zealous Puritan laymen received savage punishments. For example, in 1630 a man was sentenced to life imprisonment, had his property confiscated, his nose slit, an ear cut off, and his forehead branded "S.S." (sower of sedition).
Beginning in 1630 as many as 20,000 Puritans emigrated to America from England to gain the liberty to worship God as they chose. Most settled in New England, but some went as far as the West Indies. Theologically, the Puritans were "non-separating Congregationalists." Unlike the Pilgrims, who came to Massachusetts in 1620, the Puritans believed that the Church of England was a true church, though in need of major reforms. Every New England Congregational church was considered an independent entity, beholden to no hierarchy. The membership was composed, at least initially, of men and women who had undergone a conversion experience and could prove it to other members. Puritan leaders hoped (futilely, as it turned out) that, once their experiment was successful, England would imitate it by instituting a church order modeled after the New England Way."
Many of the British colonies that eventually formed the United States were settled by men and women, who, in the face of European persecution, refused to compromise their religious convictions and fled Europe.
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