I think any relationship between the Indus Valley and the deep Dravidian south is unlikely because of the vast gap in space and time. About 2,000 years and 2,000 miles. But linguistically, if the Indus script is understood, we may hopefully find that the proto-Dravidian roots of the Harappa language and South Indian Dravidian languages are similar.
Non-separating Puritans played leading roles in establishing the Massachusetts Bay Colony in 1629, the Saybrook Colony in 1635, the Connecticut Colony in 1636, and the New Haven Colony in 1638.