Trade Directories are a useful source of historical information. Baileys was published in 1783 and by the early19th Century Piggot's Directory was bring published every few years.  By the 20th century Kelly's had become the standard directory.

As well as a general description of the district they cover most trades and also notable residents.  As presumably the tradesman had to pay for an entry, the lists are by no means complete - for instance in Piggots1822 directory no Taverns or Public houses are listed in Broseley.

Directories for Broseley, Coalbrookdale, Coalport Ironbridge & Madeley:

Hearth Tax 1672 (parishmouse web site)
Pigot 1822
THE SHROPSHIRE GAZETTEER, PRINTED AND PUBLISHED BY T. GREGORY. 1824.
Gregory 1824 (parishmouse web site)
Tibnams 1828
Pigot 1829
Pigot 1835
Bagshaw 1851
Harrison, Harrop & Co. 1861
Casey 1871