Richard K. Behrens connects Joseph Smith Jr.'s paternal grandparents to the Joseph Smith and Elisabeth Palmer who were mistakenly identified as the parents of Reverend John Smith in a Dartmouth Alumni Sketch.
Richard K. Behrens, "Dartmouth Arminianism and Its Impact on Hyrum Smith," The John Whitmer Historical Association Journal, Vol. 26 (2006), 180
*Chart of Smith Family connections to Dartmouth, showing a faulty connection between Reverend John Smith and his parents.