Not quite, though cottage pie is made with beef, Cumberland pie is a traditional English dish made of two layers. The bottom layer is usually some meat and vegetables (like beef and carrots) and the top layer consists of mashed potato. Some northern cooks put pickle in the recipe, whereas others use sausage meat or some kind of pork in. Altogether a very nice recipe though.
Moreover, my Cumberland pie has an extra top layer of fine crunchy breadcrumbs (sourdough but, whatever's available), grated Davidstowe Cheddar and dotted with pieces of butter.
Oink oink, we pigged the lot!