Before the New Haven vicinity was settled, it was inhabited by multiple indigenous cultures. Some countryside southeast of the village near the Wabash was formerly the location of a village of a Late Woodland people known as the "Duffy Complex"; the location is now an archaeological site known as the Duffy site.[4]
According to the 2021 census gazetteer files, New Haven has a total area of 1.27 square miles (3.29km2), of which 1.24 square miles (3.21km2) (or 97.72%) is land and 0.03 square miles (0.08km2) (or 2.28%) is water.[6][7]
As of the 2020 census[3] there were 399 people, 157 households, and 90 families residing in the village. The population density was 313.43 inhabitants per square mile (121.02/km2). There were 204 housing units at an average density of 160.25 per square mile (61.87/km2). The racial makeup of the village was 96.49% White, 0.75% Asian, and 2.76% from two or more races. Hispanic or Latino of any race were 0.50% of the population.
There were 157 households, out of which 21.7% had children under the age of 18 living with them, 46.50% were married couples living together, 9.55% had a female householder with no husband present.
The median income for a household in the village was $34,432, and the median income for a family was $75,417. About 23.9% of the population were below the poverty line, including 27.9% of those under age 18 and 15.9% of those age 65 or over.
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