Thanks Roger and Eva. I know Robert Lincoln was outraged by Herndon's account of Lincoln the man and strongly denied the Ann Rutledge story and his father's unhappy marriage but I can't find where he denied Herndon's insistence that Lincoln was an infidel. I think it's very telling that Robert never said his father accepted Christianity as his faith.
I did find this in connection with Robert's church affiliation.
"Robert Todd Lincoln served as a Church Trustee from 1879 – 1889. Robert Lincoln’s wife, Mary, joined the Second Presbyterian by profession of faith on June 12, 1877."
http://www.chicagonow.com/chicago-histor...june-22nd/
Like his father who served as Trustee in Springfield but didn't become a member of the church, Robert "was a Trustee (but not a member)of the Second Presbyterian Church from 1879-1889." Jason Emerson
https://books.google.com/books?id=tPqgC3...go&f=false