Conn. Gen. Stat. § 33-264h
Any ecclesiastical society which is not a religious society within the meaning of section 33-264a and which is associated with such a religious society or with a religious corporation may, by a two-thirds vote of its members present and voting at a meeting warned and held for that purpose, transfer and convey to such religious society or religious corporation all the property and estate of such ecclesiastical society and all trust funds held by it, to be held by such religious society or religious corporation under and upon the same uses and trusts upon which the same had been previously held by such ecclesiastical society. The religious society or religious corporation accepting such transfer shall thereupon become primarily liable for all the then existing debts and obligations of the transferring ecclesiastical society, and such debts and obligations shall be a first lien upon the property so transferred, except such of it as has been held in trust. Each unvested gift or legacy to an ecclesiastical society which, pursuant to the provisions of section 33-264i, has ceased to exist, shall inure to and vest in the religious society or religious corporation which has taken its place.
Conn. Gen. Stat. § 33-264h
(1969, P.A. 314, S. 8.)