Wow. You have a good memory.
Cheated a bit...knew the general time period and location...
http://en.wikipedia.org/wiki/List_of_Connecticut_tornadoes
“May 24, 1962: An F3 tracked through northern New Haven and southern Hartford Counties. The tornado produced “near-F4 damage” in parts of Waterbury and Southington, with more than 200 buildings destroyed and another 600 damaged. One person was killed, with another fifty injured, and the tornado caused $4,000,000 in damage along its 11-mile (18 km) path.”
After the all clear I biked to a nearby hill to scan for damage.
Saw none, but did see an unfamilar GSD running loose that I thought I’d greet.
He was of a different mind and I can still see the scar on my calf.