That's interesting. I'm fairly sure that Alexander Waddell who died in 1916 was the son of Archibald Douglas and Elizabeth Rymer. The death certificate of James Gilchrist in 1864 (Elizabeths son by Joseph) notes his half brother Alexander as a witness so that fits. Alexanders death certificate in 1916 lists his mother as Elizabeth Rimmer and father as "Archibald Douglas Waddell (writer)".
Having said that,what I assume to be Archibald's death certificate (1856 Calton in Glasgow) records him as a baker. The 1851 Census has a retired(?) baker called Archibald Waddell at 32 St Patrick's Square in Edinburgh who could be the right person.
So there's a puzzle here. Did they simply get Archibald's profesion wrong on his son's d/c? It does seem a more likely option given that he had died 50 years before. Or are we talking about two different people. If the same person, I wonder why he moved to Calton in Glasgow before he died.
Fascinating about the notebook. Can you tell me which archive it is held in?
Liverpool was certainly a major port for the West Indies and Rymer's are widely spread in that area. I incline more to that than the Bristol connection unless there's more to it than the Clifton thing. There are certainly ship captains called Rymer sailing out of Liverpool at the turn of the 19th century.
The mystery for me is how they ended up owning an estate in Coatbridge!