Elinor, We are almost certainly distantly related and you are definitely related to Bryan Downie, who lives in Parma, Ohio.
Your grandfather Thomas J. Downie was of Scottish descent but was not born in Scotland - he was born on 6 April 1887 in Hamilton, Ohio. He married Bessie L. Noes there on 2 September 1915 and died on 5 December 1966 in the same place. His parents were James J. Downie and Mary Hauenstein.
James was the son of James Downie and Agnes Johnstone. He was born on 14 July 1863 in Currie, Midlothian, Scotland and died in October 1851 in Hamilton OH. For details going back before this, please refer to my Downie website:
I have a great deal more information which I am sure would interest you. Bryan and I would also be very interested in any details you have about your family. Please contact me directly through the email address on my website.