Conn. Gen. Stat. § 52-550
Statute of frauds; written agreement or memorandum
(a) No civil action may be maintained in the following cases unless the agreement, or a memorandum of the agreement, is made in writing and signed by the party, or the agent of the party, to be charged: (1) Upon any agreement to charge any executor or administrator, upon a special promise to answer damages out of his o…