Meriden, CT.
Berlin, CT is closest to Bristol where ESPN is located. Berlin is on the Northeast Corridor.
The University of Connecticut in Storrs, CT.
Southeast
You will need to take a shuttle from Hartford, CT to New Haven Union Station. There you can hop on a train to NYC.
The address of the Mansfield Historical Society is: Po Box 145, Storrs, CT 06268-0145
The address of the Ballard Institute And Museum Of Puppetry is: 6 Bourn Place, Unit 5212, Storrs, CT 06269
The address of the Connecticut State Museum Of Natural History is: University Of Connecticut, U-23, Storrs, CT 06269-3023
You would have to drive to a train station. Waterbury being the closest roughly 10 minutes, but doesn't provide the best service or safe secure parking. I live in Southington and have never bothered leaving from Waterbury. Its also not direct you have to transfer in bridgeport, I believe. the next closest and much more efficient station is in New Haven roughly 30 minutes away. Definitely the closest and most efficient station. If you prefer to drive further to another station, since driving can be much faster, but don't want to drive into the city. I would recommend Stamford or Greenwich roughly an hour from Southington, which are also direct, often express and provide safe parking and good service.
Train from Newark NJ to Stamford CT
travel guide Newark penn station NJ at Westport CT
Hartford