Researching Polish genealogy in Connecticut can be a major challenge. Most immigrants arrived in the late 1800s and early 1900s, and while they "made" the census, they may have left few other records of their lives. Most were Catholic industrial workers. In cities, you'll have better luck. Catholic churches were established by about 1910, so church records become an option. City directories and newspapers may provide more details. Small towns are much more of a challenge. Most of these options simply don't exist.
If you or your family is from the New Britain area, you may have another option for research: the Polish Genealogical Society of Connecticut. While the society's records are strongest for Poland, they do provide surname connections to other researchers. It's worth a try.