Greene Smith (1842-1886) was a son of New York reformer, philanthropist and abolitionist Gerrit Smith. An avid amateur scientist, Smith was very interested in ornithology and taxidermy. In 1863 he built a three-story museum to house his collection of bird specimens, many of which eventually went to Cornell (where Smith lectured as professor of ornithology), Harvard, or Colgate University.
A genealogy of the Smith family is available here (if online) or at the end of this finding aid (if in hard copy).
From the guide to the Greene Smith Papers, 1860-1907, (Special Collections Research Center, Syracuse University Libraries)