Cygnet is a village in Wood County, Ohio, United States. The population was 543 at the 2020 census. Cygnet was originally called Pleasant View, and under the latter name was platted in 1883. A post office called Cygnet has been in operation since 1883. The village was incorporated in 1889. Much of the village was damaged by a fire on January 30, 1891. A nit…Cygnet is a village in Wood County, Ohio, United States. The population was 543 at the 2020 census. Cygnet was originally called Pleasant View, and under the latter name was platted in 1883. A post office called Cygnet has been in operation since 1883. The village was incorporated in 1889. Much of the village was damaged by a fire on January 30, 1891. A nitroglycerin explosion occurred in Cygnet on September 7, 1897, killing at least 6 and causing significant damage to the village.