see this older history of Connecticut (1904)
http://www.quinnipiac.edu/other/abl/etext/Wadsworth/wadsworthcomplete2.html....
So far as can be learned, all of the original proprietors of Hartford, as well as those of Windsor and Wethersfield, were born in England and had emigrated on account of their religious views differing from those which were being forced on the people by Charles I. through Laud. Thomas Hooker, the leader of the company, had felt the
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weight of the latter's displeasure. Being marked as a Non-Conformist, he was in 1629 silenced at Chelmsford and in 1630 forced to sail for Holland to escape a summons to appear before the High Commission Court. The ill-fated Charles Stuart was at the time carrying out the threat which his father made at Hampton Court when he told the Puritan divines that he would make them conform or he would harry them out of the land, or worse. At the time it sounded like an idle boast, but when they found that King James was determined to enforce "one doctrine, one discipline, one religion, in substance and ceremony," many well to do people, as well as artisans and agriculturalists, who considered their spiritual welfare of more moment than their physical comforts, fled to Holland and later to America.
much more....
NOTE what the English government was threatening
...he would make them conform or he would harry them out of the land, or worse. At the time it sounded like an idle boast, but when they found that King James was determined to enforce "one doctrine, one discipline, one religion, in substance and ceremony,"...