Conn. Gen. Stat. § 52-211

If a nonsuit has been so granted in the Superior Court, the plaintiff may either (a) during the same term or session of the court and before its next return day, file a written motion to set aside such judgment; and, if such motion is denied, may appeal from such denial; and to enable him to do so the court shall state the whole evidence so produced as aforesaid that it may become a part of the record or (b) appeal pursuant to section 51-197a directly from the judgment of nonsuit. If such judgment is set aside, either on motion or appeal, the cause shall be proceeded with as though no nonsuit had been granted.