My husband is John W. Anderson III. His father was: John W. Anderson II, born in Painted Post, NY. JWA II's mother was: Elizabeth (Bessie) Eccles Anderson (1877-1969. Lived in Buffalo. Her father was: John Eccles II, born in Ayr, Scotland in 1830 - immigrated to USA in 1850. His parents were: John Eccles I (1794-1860) & Elizabeth Chrichton. John Eccles I's parents were: Gilbert Eccles & Jean Mitchell of Ayr, Scotland, married 25 Nov. 1786.
My husband's grandmother, Bessie Eccles Anderson also told the family that they were some kind of cousins to Marriner Eccles.
John Eccles II (who immigrated) married Sarah Crisler on 4 Dec 1856 in Addison NY. They had seven children: John Byron, Charles W., Arthur L., Samuel B., Mary Eccles Gardner, James C. and Elizabeth (Bessie) Eccles Anderson.
The oldest Eccles ancestors we know, Gilbert and Jean Mitchell, had ten children. While John did not name any of his children Gilbert, his brothers Gilbert, Alexander and Robert did. I do not know, however, if any of them ever came to the States.
Please also send me an e-mail I can respond to. I am looking forward to hearing from you.