On a more continental note, the Cafe Arriete, in Moffat, does very nice croissants and coffee. Not as traditional, but just as unhealthy if the croissants are drenched in butter and strawberry jam.
The cafe at Hartside, between Penrith and Alston, is also well worth a visit. Good solid stuff and very reasonably priced. Also a good place for anybody who likes gawping at hundreds of high powered motorbikes, especially n a sunny day.