Connecticut was founded by a group of Puritans who were unhappy with the state of religious affairs in Massachusetts. They believed that the Massachusetts government was too powerful and that it interfered too much in church affairs. The Connecticut Puritans wanted to establish a colony where they could practice their religion freely.
Rhode Island was founded by Roger Williams, a Puritan minister who had been banished from Massachusetts for his religious beliefs. Williams believed that the government should not have any control over religious affairs. He founded Rhode Island as a haven for people who were persecuted for their religious beliefs.
New Hampshire was settled by a variety of people, including Puritans, Anglicans, and Quakers. Although there was initially some religious intolerance in New Hampshire, the colony eventually became known for its religious tolerance.