"Farrar" is presumably John Farrar, 1779-1853, who did a curricular reform in science and mathematics at Harvard College (where he had been a student). There were two series: Cambridge Mathematics and Cambridge Natural Philosophy. The former included English versions of Lacroix, Legendre, Bezout, Euler, etc. John Farrar was Hollis Professor at Harvard and thus was recognized by his own institution in his own time. A good brief account of his life and influence may be found in Brooke Hindle's article on Farrar in the Dictionary of Scientific Biography. There's also a book on him by his wife.
YOu may also find useful, on the general questions you address, Dirk Struik's Yankee Science in the Making, Stanley Guralnick, Science and the Antebellum American College, and Florian Cajori's monumental The Teaching and History of Mathematics in the United States. A short introduction to the relevant period is my own "Mathematics in America: The First Hundred Years" in Dalton Tarwater, ed., The Bicentennial Tribute to American Mathematics. The bibliographies of the articles in that volume will be helpful. Good luck with your very interesting project.
Judith V. Grabiner Flora Sanborn Pitzer Professor of Mathematics Pitzer College (909) 607-3160