1. The first Labor Day Parade in Connecticut was held on May 1, 1885. The parade was organized by the Knights of Labor and marched through the streets of New Haven, drawing around 25,000 participants.

2. On May 1, 1707, the General Assembly of Connecticut passed an act establishing the first post office in the colony. The post office was located in New London and operated under the direction of the British Crown.

3. May 1, 1794 marked the date of the first execution in Connecticut by hanging. A man named Enoch Brown was convicted of murder and sentenced to death in New Haven. Brown was hanged in public view on the New Haven Green.

4. On May 1, 1971, the first Earth Day celebration in Connecticut was held in Hartford. The event drew over 10,000 participants and featured speeches, music, and exhibits promoting environmental awareness and activism.

5. May 1, 2004 marked the grand opening of the Mashantucket Pequot Museum and Research Center in Mashantucket, Connecticut. The museum is dedicated to the history and culture of the Mashantucket Pequot Tribal Nation and features exhibits, artifacts, and interactive displays.