The state motto of Connecticut is "He who is transplanted still sustains" (in Latin: Qui transtulit sustinet). The origin of the motto is uncertain but it has been associated with the various versions of the state seal begining with the Saybrook Colony Seal. The Saybrook Colony was established in late 1635 at the mouth of the Connecticut River in what is today Old Saybrook, Connecticut.
The map above shows the Connecticut, New Haven, and Saybrook colonies from 1636-1776. It includes the territorial disputes between Connecticut and its neighbors during that time period (purple shading). It does not show Connecticut's western land claims and dispute with Pennsylvania. The map is based primarily on descriptions from The Boundary Disputes of Connecticut by Clarence Winthrop Bowen. James R. Osgood and Company, Boston, 1882 (larger, more detailed version on Wikipedia.org).