Not everyone in the colonies supported independence from England. Those who remained loyal to England were called Loyalists or Tories.
See also guide pages:
What makes a “patriot” and what makes a Loyalist and how did towns treat them?
Look at Loyalists/Patriots is RG000 Connecticut Archives, Revolutionary War Series. There are also records in the various county court records (there is an index online, RG003) and probate records (RG004).
See History Day guide page under Military > Revolutionary Period
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