Conn. Gen. Stat. § 52-390: Execution; demand for legacy or distributive share.

When any legacy or distributive share due or which may become due from the estate of a deceased person is attached, the attachment shall not continue unless demand is made of the garnishee upon the execution within sixty days after the rendition of the judgment, or within sixty days after the time when, if such attachment had not been made, it would have become the duty of the executor or administrator, in the settlement of the estate, to deliver to the defendant the legacy or distributive share to which he is entitled.