 Waverly Township was named after Waverly, New York.According to the United States Census Bureau, the township has a total area of 36.8 square miles (95.3 km²), of which 36.6 square miles (94.9 km²) of it is land and 0.2 square miles (0.4 km²) of it (0.43%) is water.As of the census of 2000, there were 245 people, 89 households, and 77 families residing in the township.