While the Puritans were united in their goal of furthering the English Reformation, they were always divided over issues of ecclesiology and church polityspecifically questions relating to the manner of organizing congregations, how individual congregations should relate with one another and whether established national churches were scriptural.
In addition, ministers guided the elected officials of the colony; consequently, there was a close tie between Church and State. That confidence made people like the Puritans anything but passive or despairing.
In contrast, the forest — seen by the Puritans as the haunt of the Black Man or devil — was a place of little law and order. The only escape from public scrutiny is the forest.
In "A Discourse on the Nature of Regeneration", Stephen Charnock distinguished regeneration from "external baptism" writing that baptism "confers not grace" but rather is a means of conveying the grace of regeneration only "when the [Holy] Spirit is pleased to operate with it".
I just made things a bit easy for you, though.
After being religiously persecuted in England, the Puritans fled to North America to start their new beginning.