Olivebridge is a hamlet

Hamlet (place)

A hamlet is usually a rural settlement which is too small to be considered a village, though sometimes the word is used for a different sort of community. Historically, when a hamlet became large enough to justify building a church, it was then classified as a village...

 in Ulster County

Ulster County, New York

Ulster County is a county located in the state of New York, USA. It sits in the state's Mid-Hudson Region of the Hudson Valley. As of the 2010 census, the population was 182,493. Recent population estimates completed by the United States Census Bureau for the 12-month period ending July 1 are at...

, New York

New York

New York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...

, United States

United States

The United States of America is a federal constitutional republic comprising fifty states and a federal district...

, within Catskill Park and the Catskill Mountains

Catskill Mountains

The Catskill Mountains, an area in New York State northwest of New York City and southwest of Albany, are a mature dissected plateau, an uplifted region that was subsequently eroded into sharp relief. They are an eastward continuation, and the highest representation, of the Allegheny Plateau...

.

The community's name is sometimes written Olive Bridge, but the United States Board on Geographic Names

United States Board on Geographic Names

The United States Board on Geographic Names is a United States federal body whose purpose is to establish and maintain uniform usage of geographic names throughout the U.S. government.-Overview:...

 gives the name as Olivebridge. (Board decision, 1965)

Olivebridge achieved some notoriety when its tiny town government successfully stood up to New York City on several land use/property tax issues, as well as its Town Justice Court rejecting the legal validity of a preemptive 35mph speed limit imposed on roads surrounding the Ashokan Reservoir

Ashokan Reservoir

The Ashokan Reservoir is a reservoir in Ulster County, New York, USA. The reservoir is in the eastern end of the Catskill Park, and is one of several reservoirs created to provide the City of New York with water. However, it is one of only two reservoirs in the Catskill Watershed. It is also New...

by New York City.