religious titles père vs curé

[Cervantes]

Hello,

I'm having difficulty distinguishing between the use of the above titles when referring to a Catholic priest. I understand that curé properly refers to a parish priest, but how does this differ from père?

For example, in directly addressing a priest does one refer, for example, to Père Vincent or Monsieur Curé Vincent? (I'm taking it that both terms follow the usual conventions for capitalization, i.e. in direct address or reference.

And, on a related note, I know that one refers to, say, Deputy Vincent in direct address, but in another context such as 'The deputy stood up to leave,' does one still capitalize the title?

Advice eagerly sought.