Question: What's a term for the church that John Smith broke ties with and churches that align with it?

full_context: Document 1: Protestantism: Anglicanism comprises the Church of England and churches which are historically tied to it or hold similar beliefs, worship practices and church structures. The word Anglican originates in ecclesia anglicana, a medieval Latin phrase dating to at least 1246 that means the English Church. There is no single "Anglican Church" with universal juridical authority, since each national or regional church has full autonomy. As the name suggests, the communion is an association of churches in full communion with the Archbishop of Canterbury. The great majority of Anglicans are members of churches which are part of the international Anglican Communion, which has 80 million adherents.
Document 2: Canon law: In the Church of England, the ecclesiastical courts that formerly decided many matters such as disputes relating to marriage, divorce, wills, and defamation, still have jurisdiction of certain church-related matters (e.g. discipline of clergy, alteration of church property, and issues related to churchyards). Their separate status dates back to the 12th century when the Normans split them off from the mixed secular/religious county and local courts used by the Saxons. In contrast to the other courts of England the law used in ecclesiastical matters is at least partially a civil law system, not common law, although heavily governed by parliamentary statutes. Since the Reformation, ecclesiastical courts in England have been royal courts. The teaching of canon law at the Universities of Oxford and Cambridge was abrogated by Henry VIII; thereafter practitioners in the ecclesiastical courts were trained in civil law, receiving a Doctor of Civil Law (D.C.L.) degree from Oxford, or a Doctor of Laws (LL.D.) degree from Cambridge. Such lawyers (called "doctors" and "civilians") were centered at "Doctors Commons", a few streets south of St Paul's Cathedral in London, where they monopolized probate, matrimonial, and admiralty cases until their jurisdiction was removed to the common law courts in the mid-19th century.
Document 3: Canon law: The Catholic Church has what is claimed to be the oldest continuously functioning internal legal system in Western Europe, much later than Roman law but predating the evolution of modern European civil law traditions. What began with rules ("canons") adopted by the Apostles at the Council of Jerusalem in the first century has developed into a highly complex legal system encapsulating not just norms of the New Testament, but some elements of the Hebrew (Old Testament), Roman, Visigothic, Saxon, and Celtic legal traditions.
Document 4: Baptists: Historians trace the earliest church labeled ``Baptist ''back to 1609 in Amsterdam, Dutch Republic with English Separatist John Smyth as its pastor. In accordance with his reading of the New Testament, he rejected baptism of infants and instituted baptism only of believing adults. Baptist practice spread to England, where the General Baptists considered Christ's atonement to extend to all people, while the Particular Baptists believed that it extended only to the elect. Thomas Helwys formulated a distinctively Baptist request that the church and the state be kept separate in matters of law, so that individuals might have freedom of religion. Helwys died in prison as a consequence of the religious persecution of English dissenters under King James I. In 1638, Roger Williams established the first Baptist congregation in the North American colonies. In the mid-18th century, the First Great Awakening contributed to Baptist growth in both New England and the South. The Second Great Awakening in the South in the early 19th century greatly increased church membership. Baptist missionaries have spread their faith to every continent.
Document 5: Canon law: The institutions and practices of canon law paralleled the legal development of much of Europe, and consequently both modern civil law and common law (legal system) bear the influences of canon law. Edson Luiz Sampel, a Brazilian expert in canon law, says that canon law is contained in the genesis of various institutes of civil law, such as the law in continental Europe and Latin American countries. Sampel explains that canon law has significant influence in contemporary society.
Document 6: Baptists: Historians trace the earliest church labeled "Baptist" back to 1609 in Amsterdam, with English Separatist John Smyth as its pastor. In accordance with his reading of the New Testament, he rejected baptism of infants and instituted baptism only of believing adults. Baptist practice spread to England, where the General Baptists considered Christ's atonement to extend to all people, while the Particular Baptists believed that it extended only to the elect. In 1638, Roger Williams established the first Baptist congregation in the North American colonies. In the mid-18th century, the First Great Awakening increased Baptist growth in both New England and the South. The Second Great Awakening in the South in the early 19th century increased church membership, as did the preachers' lessening of support for abolition and manumission of slavery, which had been part of the 18th-century teachings. Baptist missionaries have spread their church to every continent.
Document 7: Mary, mother of Jesus: The multiple churches that form the Anglican Communion and the Continuing Anglican movement have different views on Marian doctrines and venerative practices given that there is no single church with universal authority within the Communion and that the mother church (the Church of England) understands itself to be both "catholic" and "Reformed". Thus unlike the Protestant churches at large, the Anglican Communion (which includes the Episcopal Church in the United States) includes segments which still retain some veneration of Mary.
Document 8: Canon law: The law of the Eastern Catholic Churches in full union with Rome was in much the same state as that of the Latin or Western Church before 1917; much more diversity in legislation existed in the various Eastern Catholic Churches. Each had its own special law, in which custom still played an important part. In 1929 Pius XI informed the Eastern Churches of his intention to work out a Code for the whole of the Eastern Church. The publication of these Codes for the Eastern Churches regarding the law of persons was made between 1949 through 1958 but finalized nearly 30 years later.
Document 9: Baptists: In 1609, while still there, Smyth wrote a tract titled "The Character of the Beast," or "The False Constitution of the Church." In it he expressed two propositions: first, infants are not to be baptized; and second, "Antichristians converted are to be admitted into the true Church by baptism." Hence, his conviction was that a scriptural church should consist only of regenerate believers who have been baptized on a personal confession of faith. He rejected the Separatist movement's doctrine of infant baptism (paedobaptism). Shortly thereafter, Smyth left the group, and layman Thomas Helwys took over the leadership, leading the church back to England in 1611. Ultimately, Smyth became committed to believers' baptism as the only biblical baptism. He was convinced on the basis of his interpretation of Scripture that infants would not be damned should they die in infancy.
Document 10: Baptists: Historians trace the earliest Baptist church back to 1609 in Amsterdam, with John Smyth as its pastor. Three years earlier, while a Fellow of Christ's College, Cambridge, he had broken his ties with the Church of England. Reared in the Church of England, he became "Puritan, English Separatist, and then a Baptist Separatist," and ended his days working with the Mennonites. He began meeting in England with 60–70 English Separatists, in the face of "great danger." The persecution of religious nonconformists in England led Smyth to go into exile in Amsterdam with fellow Separatists from the congregation he had gathered in Lincolnshire, separate from the established church (Anglican). Smyth and his lay supporter, Thomas Helwys, together with those they led, broke with the other English exiles because Smyth and Helwys were convinced they should be baptized as believers. In 1609 Smyth first baptized himself and then baptized the others.
Document 11: Canon law: In the Catholic Church, canon law is the system of laws and legal principles made and enforced by the Church's hierarchical authorities to regulate its external organization and government and to order and direct the activities of Catholics toward the mission of the Church.
Document 12: Baptists: Modern Baptist churches trace their history to the English Separatist movement in the century after the rise of the original Protestant denominations. This view of Baptist origins has the most historical support and is the most widely accepted. Adherents to this position consider the influence of Anabaptists upon early Baptists to be minimal. It was a time of considerable political and religious turmoil. Both individuals and churches were willing to give up their theological roots if they became convinced that a more biblical "truth" had been discovered.[page needed]
Document 13: Baptists: During the Protestant Reformation, the Church of England (Anglicans) separated from the Roman Catholic Church. There were some Christians who were not content with the achievements of the mainstream Protestant Reformation. There also were Christians who were disappointed that the Church of England had not made corrections of what some considered to be errors and abuses. Of those most critical of the Church's direction, some chose to stay and try to make constructive changes from within the Anglican Church. They became known as "Puritans" and are described by Gourley as cousins of the English Separatists. Others decided they must leave the Church because of their dissatisfaction and became known as the Separatists.
Document 14: Protestantism: Historians trace the earliest church labeled Baptist back to 1609 in Amsterdam, with English Separatist John Smyth as its pastor. In accordance with his reading of the New Testament, he rejected baptism of infants and instituted baptism only of believing adults. Baptist practice spread to England, where the General Baptists considered Christ's atonement to extend to all people, while the Particular Baptists believed that it extended only to the elect. In 1638, Roger Williams established the first Baptist congregation in the North American colonies. In the mid-18th century, the First Great Awakening increased Baptist growth in both New England and the South. The Second Great Awakening in the South in the early 19th century increased church membership, as did the preachers' lessening of support for abolition and manumission of slavery, which had been part of the 18th-century teachings. Baptist missionaries have spread their church to every continent.
Document 15: Canon law: Other churches in the Anglican Communion around the world (e.g., the Episcopal Church in the United States, and the Anglican Church of Canada) still function under their own private systems of canon law.
ground_truth: the Anglican Communion
sub_queries: John Smyth broke his ties with what church? Answer: Church of England
What is a term for Church of England and churches that align with it? Answer: the Anglican Communion