[3] Conroy has a post office with the ZIP Code of 52220,[4] which opened on 5 January 1885.

As of the census of 2020,[7] there were 252 people, 92 households, and 77 families residing in the community.

There were 98 housing units at an average density of 128.5 per square mile (49.6/km2).

Hispanic or Latino persons of any race comprised 2.8% of the population.

14.1% of all households were made up of individuals, 4.3% had someone living alone who was 65 years old or older.