Town centre's grotty outside front of Boots (13)

I believe the answer is:

middlesbrough

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'town' is the definition.
(I've seen this before)

'centre's grotty outside front of boots' is the wordplay.
'centre's' becomes 'middle's' ('middle' can be a synonym of 'centre').
'grotty outside front of boots' becomes 'brough' (I can't explain this - if you can you should believe this answer much more).
'middles'+'brough'='MIDDLESBROUGH'

Can you help me to learn more?

(Other definitions for middlesbrough that I've seen before include "Port at the mouth of the Tees" , "Teesside town" .)

I've seen this clue in The Telegraph.

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