Balmforth is less than a mile to Danbury Hospital which is between Locust & Hospital Ave in Danbury. The neighborhood that is right in the general proximity of the hospital is called Germantown, which is a neighborhood that I am very familiar with. Take care!
A great website to track distance from any home you are looking for is http://www.walkscore.com
You can calculate how many miles schools, hospitals, stores..even how far your commute will be!
You can watch my video on it here. http://youtu.be/ZoW6MZyWwgs
Hope this helps!