This Dandie Dinmont is called Callum; (the rodent is unidentified). Painted by John Emms in 1895, he hangs in Edinburgh's National Gallery where you could easily walk by and not pay him much attention, but he deserves a second look because it's on account of this 'wee dug' that the gallery got a big legacy:
"Callum was [...] owned by Mr James Cowan Smith who bequeathed £55,000 to the National Gallery of Scotland in 1919. This enormous amount formed an important trust fund for acquisitions. His bequest had two conditions: the first that the Gallery provided for his dog Fury, who survived him; the second that Emms’ picture of his previous dog Callum should always be hung in the Gallery. Both conditions were fulfilled, and although Fury is long since dead, Callum still hangs in the Gallery in memory of his owner."
Sounds like a good deal all round.