Samuel married again after his wife died so we know his father was also called Samuel and was a shoemaker:-

Name: Samuel Stuart
Event Type: Marriage
Event Date: 14 Sep 1876
Event Place: St Barnabas, Braddan, Isle of Man
Marital Status: Widowed Father's Name: Samuel Stuart Spouse's Name: Ann Fox Spouse's Marital Status: Single Spouse's Father's Name: Frank Fox
Link: familysearch.org/ark:/61903/1:1:XZY1-1PY