a. I talked to the man known around here as 'Tall Bobby' who is the mayor of the town.
If there is only one man known around here as 'Tall Bobby', don't we have to have a comma before 'who'?
b. I was in the department known as Boyer that has a flourishing mining industry.
Do we need to replace that with 'which' and have a comma before 'which'?
c. I was in the department that has a flourishing mining industry known as Boyer.
Could this sentence be used if the department is known as Boyer?
This is a question regarding restrictive and non-restrictive clauses. If there is only one 'Tall Bobby', then the clause following it should be non-restrictive. We are giving more information about a person that has already been identified. But since things are clear, is the comma absolutely necessary?
Same question about (b). One could maybe consider (b) as a transformation of (c).
As for (c), I'd say that the sentence works. Nobody would think that the 'flourishing mining industry' is know as Boyer. But maybe that is the only way the sentence can be read according to the rules of grammar. I don't think so.