Was it the Puritans who had left Europe settled in the New World to practice religious freedom as of the Elizabethan Settlement?

Yes, the Puritans were a group of English Protestants who sought to reform the Church of England and faced persecution in Europe. They settled in the New World, particularly in New England, in search of religious freedom and the ability to practice their beliefs without interference. The Elizabethan Settlement established the Church of England as a Protestant church, but it did not fully satisfy the Puritans, leading some to seek religious refuge in America.