The following data is extracted from Genealogy and Biography of Ontario County, New York.
(IV) Noah, son of Jacob (2) Aldrich, was born in Mendon about 1720. He deeded lands in Mendon in 1772. He appears to have moved soon afterward to New Salem, Massachusetts, of which he was a soldier in the revolution in 1775 in Captain John King's company, Colonel Benjamin Ruggles Woodbridge's regiment. In 1790, according to the first federal census, he was living in Adams, Berkshire county, Massachusetts, and had one son over sixteen and four females -in his family. He married Rachel
Source: Genealogy and Biography of Ontario County, New York