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is a village located in the Town of Wilna in Jefferson County, New York. The population was 3,721 at the 2000 census. The village is named after the historic Carthage in North Africa.
The original settlement was called "Long Falls" and was first settled around 1798.
In 1861, a major fire destroyed about twenty buildings in the village, and a smaller fire at the end of the year destroyed more property. A somewhat less destructive fire occurred in 1872. Another large fire in 1884 spread across the river from West Carthage and caused extensive damage, reducing more than 150 buildings to ruin. In 2002, another fire destroyed eight buildings in the downtown area, displacing nearly 150 residents and leaving a pile of ruin.