A postcard-worthy Victorian B&B in Notting Hill between Hyde Park and Portobello Road
Perhaps the nicest B&B in London—though not the most central (in Hammersmith and Fulham)
The generic British word for dessert is "pudding."
In the 19th century, the "g" was sometimes pronounced as a harder "k." Sometimes, the "n" got dropped. Sometimes that was shortened by slicing off the "pud."
In other words, small, incremental changes resulted in pudding->puddink->puddik->dick.
It's not meant to be dirty; it's just a Victorian synonym for "dessert."
Pepper a cake with currants or raisins, and you get "spots" in your pudding, hence: spotted dick.