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Avery was appointed ensign in the Sixth Company, Eighth Regiment of the Connecticut Militia, and served as lieutenant and captain until May 1794. After moving to Aurora, Cayuga County, New York in 1795, he subsequently became the owner of a large tract of land which was farmed by tenants.[1]
Elected as a Democratic-Republican to represent the 14th district during the Twelfth Congress and the 20th district during the Thirteenth Congress, Avery held the office from March 4, 1811, to March 3, 1815. He was elected to represent the 20th District during the Fourteenth Congress to fill the vacancy caused by the resignation of Enos T. Throop and served from September 30, 1816, to March 3, 1817.[2] He resumed the management of his estate and was connected with the land office at Albany for twenty years.