I do not have any information on the persons named in your posting, but my wife is a Pinkerton. Her father was Carl Raymond Pinkerton, b. 29 April 1914 in Pleasant Township, Grant County, IN, d. 4 Jan 2006 in Jacksonville, Duval, FL. Carl's father was Frank Glen Pinkerton, b. 1 April 1883 in Huntington County, IN, d. 7 April 1966 in Huntington, IN. Frank's father was Arment John Pinkerton (I have also seen paperwork that listed him as John Arment Pinkerton), b. 13 Sep 1940 in Wayne County, IN, d. 8 Jan 1930 in Jonesboro, Grant County, IN. Arment John had a brother Thomas but I don't have any other information about Thomas. Arment John's father was John Pinkerton, b. 28 Sep 1805 in Chester County, PA, d. 26 Aug 1893 in place unknown.
I hope this information is helpful to you.