There are many ways a person comes to have a middle name such as Ketcheson, such as: a parent may give a middle name to honour a god-parent, to honour a military officer they served with/under, it could be passed down over generations with any relation being several generations prior,
I think Samuel is the Robert Samuel Kingyens (1846-1915) given as the son of John Ketcheson Kingyens and Sarah Waddington in this indexed record: https://familysearch.org/pal:/MM9.1.1/JDZD-KJS
Samuel and Sarah Kingyan [sic] are enumerated in Madoc, Hastings in 1871. Samuel's age at that time is given as 25 so birth estimated at 1846. Reference: http://data2.collectionscanada.ca/1871/jpg/4396350_00415.jpg
I might guess that the person enumerated in 1861 at Hastings, as Sam'l Kinging age 15, son of John K (b. ~1819, England) and Jesse (b. ~1821, Scotland) is the same person as above. Reference: http://data2.collectionscanada.gc.ca/1861/jpg/4391936_00211.jpg
If this is correct I suspect any blood relation to the William Ketcheson line is very, very, distant. The William (a.k.a. William Sr.) who was born in England about 1759, arrived in Virginia about 1773. Loyal to the crown he made his way to Nova Scotia about 1776, removed to Hay Bay about 1786, and finally settled at Sidney, Upper Canada about 1800.
The Ketcheson family is a very well documented United Empire Loyalist family. One available reference is: https://archive.org/stream/pioneerlifeonbay00torouoft#page/n13/mode/2up
