Here is what I have on the Hamilton surname.
Leona M. Hamilton, daughter of George Hamilton and Frances Robuson b. 1869 Mineto, Oswego, NY, d. 29 Oct 1936 Hannibal, Oswego, NY, married 14 Jul 1887 to George Hirum Barker b. 29 Jan 1862 Town of Oswego, Oswego, NY , d. 1941.I hope that this will be some help. I have more information on Barker's if interested.