I am a descendant of Sterling Hamilton. He was my grandfather's dad (i believe that is correct). The ancestry family tree viewer is down for maintenance right now so i will have to look later. My grandfather was Claude Hamilton he had a twin sister named Maude Hamilton, their mother was Irena Etta Ross and father was Sterling Hamilton. This would make us distant cousins i think?
Feel free to contact me at my email address firstname.lastname@example.org
I dont have much information about the Hamilton's i am just starting to do research and have came to a brick wall as you have. lol