Cumbria FHS
Trade Directories
These exist certainly from the late 1700's and in some cases even earlier. The are often available on the paid websites, but some are also freely available from sites such as University of Leicester Historical Directories.
Direct links to some volumes of interest for Cumbria are:
Note at times the site can be very slow to respond.
But there are more directories, check them out from the main Historical Directories link given above.