I know of the following BEMENTS who resided in Cortland County:
1. LEWIS HIMROD BEMENT, born 10 Mar 1821 in Massachusetts or Connecticut, died before 1900, likely at Ithaca; married 15 Aug 1844 Phebe Morehouse of Armenia, NY, born Jun 1827 in Connecticut, died 1910-20, daughter of Lemon and Betsey Morehouse.
In 1850 Lewis was a farmer in Cortlandville, Cortland County and in 1860 he was a clerk in Groton, Tompkins County, having just moved there (?). He was in Cortland in 1865 (not found in 1870). Several of his children were born there.
2. JOHN BEMENT (Jesse, John, John, John, John) born 15 Sep 1776 at
Brimfield, died 19 Apr 1847 (70) at Genoa, Cayuga County, New York; married 19 May 1799 Mary Elizabeth "Betsey" Hitchcock, born 9 Jan 1780, died at Genoa, daughter of Peter Hitchcock and Ruth Bliss of Brimfield.
John moved from Brimfield with his father-in-law and other pioneers to Homer, Cortland County, New York. In 1803 John and Betsey were members of the Homer Congregational Church and they farmed there in 1810 and 1820. John also manufactured shoes and took out the first patent for pegged boots in 1811. On 20 Nov 1830 as residents of Cortland (Cortland County) they bought 1/2 acre for $100.
3. LUCY BEMENT, born 1809 at Homer; married 1824 the Reverend Gardiner Kellogg Clark at Cortlandville, born 1786 at Bradford, Vermont, son of Joseph Clark by his wife Sarah Morrison of New Salem, New Hampshire.
4. CHARLOTTE BEMENT, born after 1821, married Austin Cravath of Preble, Cortland County.
5.SAMUEL BEMENT (Severance , Jesse, John, John, John, John) born ca. 1803 in Aurora Township, New York, died 17 Jul 1866 (64) at Greenville, Montcalm County, Michigan; married ca. 1828 Elvira Maine , born ca. Jun 1809, died 18 Apr 1868 (59-10) at Greenville, both buried there in the Forest Home Cemetery. Samuel and Elvira resided in Cortland about 1830 and at Chautauqua in 1835 and 1843.
6.JOSEPH B. BEMENT (John, Jesse, John, John, John, John) born ca. 1811 at Homer, Cortland County, New York, died ca. 1888, probably in New York City; married before 1833 Delia Wilder of Ithaca, born ca. 1814 in Wyoming County.
There are some more modern Bements that I have not included.