Free Connecticut Newspapers Online are listed at Kenneth Marks’ website, The Ancestor Hunt. He lists newspapers in categories, first the free online newspapers, next the fee or subscription only sites.
“Connecticut has a sizable state repository for searching older historical newspapers, and currently they do not use the Library of Congress Chronicling America site as their main site for searching old newspapers, although there are a few newspapers available on that site. There are quite a few free online newspapers on other sites and collections available on subscription sites. Below is a list of where the titles are stored and the link so that you can access them.”
This site is regularly updated with additional online newspaper holdings.