The following data is extracted from Genealogy and Biography of Ontario County, New York.
Jesse C. Squire, well known in agricultural circles in Ontario county, New York, who has successfully followed in the footsteps of his ancestors as a tiller of the soil, and who has added to their methods of cultivation the newer ideas which he has found practical, as they arose, is a descendant of one of the ancient families of England, and in a direct line of descent from Thomas Squire, of Worcestershire, England, who came to this country in 1630 with Governor Winthrop and settled at Charlestown, from whence his descendants have spread to various places. Some are to be found in Vermont, Long Island, New Jersey, New York, and in various other parts of the United States. John Squire, another ancestor, was equerry to Queen Elizabeth.
(I) Jesse Squire, great-grandfather of Jesse C. Squire, was a resident of Canaan, Connecticut, whence he migrated in 1992 to the state of New York, settling in Ontario county. There he purchased a farm for his son, Adin, in the vicinity of No. 9 Presbyterian Church, in Seneca. He served with bravery during the war of the revolution, holding the rank of an officer.
Source: Genealogy and Biography of Ontario County, New York