According to the person below, Abraham Rose was son of Aaron Rose' older brother William.
Dear Mallory, My name is Mary. I am a descendant of William Rose (b. abt 1809 in NY), Aaron Rose's older brother. I read your message posted on GenForum that you have a picture of Aaron rose. Would it be possible to get a copy of this photo or any other photos that you might have of the Rose brothers. My g-g-grandfather was Abram Rose (b. Oct 1837 in Michigan), son of William, who married Mary Arrington (Nov 30, 1867 in Douglas County, OR). Their daughter was Kitty Laura Rose (b. August 12, 1869 in OR). I would be glad to reimburse you for any cost, and would greatly appreciate any other info that you might have on the family.