​I found this information from other hunters:

• Brodhead Pond; also Broad Head Pond Revonah Lake The Broad Head Pond designation appears on the map enclosed in Child's Gazetteer (1872). "Brodhead" or "Broadhead" is a family name applied to the pond in question. There's no historic basis for the "Broad Head" (two separate words) designation. The "Revonah" designation was in place by the time of the Liberty Centennial (1907) as shown by use of the term in the Centennial booklet. William Cogswell tells us that the pond was owned by one A.J.D. Wedemeyer, a wealthy German who lived in the United States. In the 1880s he re-named Brodhead Pond to Revonah Lake, in honor of his birthplace, Hanover, Germany. (See also the notes on Wedemeyer Place below).

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Information I have found myself:

• The first settlers came to this area, known as Blue Mountain country, they settled in the NW of the present Village of Liberty at Revonah Lake, formerly known as Broadhead Pond.

• Some of the oldest remains from the settlers are stones in the outlet of Revonah Lake, placed there about 1797 for the purpose of building a saw mill.

• One of these exceptions was a Captain Charles Brodhead, who lived in Ulster county, on the road which led to the Great Lot in Neversink and Rockland inherited by Livingston. He (Brodhead) owned the "8,000 acre tract" in Liberty, which had descended to him from the Brodhead who purchased of Hardenbergh, the patentee. Charles Brodhead's residence and ownership led to the settlement of Liberty.
  The first step toward opening the Blue mountain country, as it was called, to the pioneer, was the making of a road to it from Neversink. This was done under the patronage of or by the State, as was frequently the case at that time in regions similarly situated. Brodhead had the contract for building the road - perhaps for cutting it open, (for little more was accomplished,) would be better words to record what was done; and from the fact that he made it, it was known afterwards as the Brodhead-road. Ten to twelve miles travel on it in a day, with a load, required the work of a strong team from morning till night, with the assistance of a man or two to remove the obstructions, and to help extricate the vehicle from slough-holes. Brodhead lived in Marbletown, where many of the new settlers of Fallsburgh, Liberty and Neversink were obliged to pass a night while coming to the woods of Sullivan. He was exceedingly anxious to get settlers on his wild lands, and took great pains to induce immigrants to buy or lease of him.

• There are but two ponds worthy of notice in Liberty. These are the Brodhead and the Lily ponds. The former is situated on an elevated plain, about two miles from the village of Liberty, and is somewhat famous as a resort for anglers of this and neighboring towns. It covers an area of about 300 acres, and is within the "3,000 acre tract," formerly owned by the Brodhead family of Ulster county, from whom it received its name. Its water furnishes some hydraulic power, and it was on its outlet that the first mill of the town was erected.
  Lily pond has a situation very like that of Brodhead pond. Its elevation above the ocean is computed at 1,600 feet. It covers about 150 acres of land, and is surrounded by primeval forests. Over its margin, in summer, are spread the green leaves and white, fragrant blossoms of the lotus (a species of lily made famous by Egyptian mythology,) from which it derives its pretty and significant name. This pond is situated on the highway from Parksville to DeBrace, about two miles from the former, and is one of the most beautiful and picturesque sheets of water in the county.