Having attacked the problem another way i.e. via e-mail, I have had helpful responses. The Hive in Worcester DO have Littlebury's for 1903 and 1905, and Kelly's for 1904, and Bromsgrove also have Kelly's for 1904. Both librarians could not have been more eager to please, and I received scanned images of the relevant pages.

Parkin F. G. first appears in 1905, as a Cycle and Bassinette Agent, at 17 The Tything. RESULT!

I am now following up a suggestion from the Bromsgrove librarian, that F.G.P. moved/expanded nextdoor. All good fun