U.S. States: New York: Oneida County
I have just started looking in to my ancestory so I hope I am not too late in responding. Andrew and Martha had a son Andrew G. Cady who was married to Susan Wilkinson. They had a son Darius Andrew Cady who married Ann Elizabeth Popple who had a son named James Popple Cady and a daughter name Jennie who I believe is your grandmother. James was my grandfather.
Andrew's father was Jacob Cady and his father was Jacob and his father was Nichoas, his father Nicholas, and his father was Nicholas.
This is the information I have. If you have anything that is different please respond.