What else do you know about the Samuel Smith to whom you refer?—eg. approximately when would he have been born… or died? Did he die in Londonderry, NH? Any idea what Samuel's wife's maiden name was?
[Most of the population of Londonderry, NH in years early enough for a man like Samuel to have had a son, old enough to have been a loyalist, were "Ulster Scots."[These Scotsmen thus would have lived in Ulster, N. Ireland for much a century, or smaller part thereof, before migrating to NH in 1718.]
Where did Samuel's son Andrew live in the present-day U.S. before the Revolution; to where did he move during or after the Revolution—into Quebec, Ontario or New Brunswick??
Your query is of real interest.