The true statements from the list are:
- The majority of Catholics in the colonies lived in Maryland & Pennsylvania.
- The Pilgrims wanted to separate from the Church of England (Anglican Church) because they believed it was beyond reform.
- New England was dominated by Puritans, also known as Congregationalists.
So the numbers in the correct order are: 4, 5, 7.
(Note: While there may be a point about the Quakers living primarily in Pennsylvania, it's important to acknowledge that they also established communities in other areas such as New Jersey and Delaware. Hence, statement 6 is not completely true.)