Thank you all for your help and suggestions.
I have since had a resposnse from the Shropshire Family History Society. There is a will for a Mary Weale of The Fiddle in the Parish of Oldbury. It's a pre-1826 will, and I have yet to get hold of a copy.
Also, on the Oldbury tithe map, dated 1839, plot 206, the Fiddle House and garden is in the occupation of Thomas Nock, though he is not there in 1841, the landowner was Thomas Whitmore, in the tithe apportionments. Unfortunately, I don't have a subscription to the Genealogist, and can't find a copy of the map online
There is also an article in the 8th April 1983 issue of the Bridgnorth Journal about The Fiddle public house being at the foot of Railway St. It seems it was demolished to clear space for the railway tunnel. FindMyPast sadly does not have this issue online

This, I think, clears my questions.