The village of Cayuga is in the western part of the town of Aurelius.
The Hutchinson Homestead was listed on the National Register of Historic Places in 2009.
New York State Route 90 is a north–south highway through the village.
There were 240 housing units at an average density of 261.4 per square mile (100.9/km2).
[5] Of the 203 households 35.5% had children under the age of 18 living with them, 56.7% were married couples living together, 8.4% had a female householder with no husband present, and 32.5% were non-families.