Aside from villages belong within towns, etc, I believe the way the government is organized is also different. Below is how I understand the governments to be set up.
- Towns are run by an elected (political) town supervisor and a town board made up of elected (political) representatives. The supervisor is usually a full time position. Town board, I think, is not full time.
- Villages have an elected (political) mayor and an elected (political) village board. They also have a non-political (by means of appointment) village manager. Managers, however, can change as regularly as the majority of the village board. The manager is a full time position who oversees the village departments and should serve as an intermediary between the departments and the board. The mayor and board members are part time and work with other boards (zoning, planning, etc) to establish legislation. Village managers do not play a direct roll in the legislative process.
- Hamlets, as was previously stated, belong within a town (as do villages), but do not have an established sell-contained government.
A town/village like Mt. Kisco can decide if they want to run themselves more like a town or more like a village.
No matter what, there is a tremendous duplication of some government services when villages or hamlets lie within towns.