As far as I can tell (cf. Stan Deville’s design guide, Valérie Fourneaux’s rules of typography), orphans are also undesirable in French typography, so ideally, the final word of a paragraph would never be hyphenated.

However, the other scenarios that you mentioned appear to be acceptable, and they show up in some of my recent reading. For example, my 1964 copy of « Les faux-monnayeurs » shows at least one instance where a word is hyphenated on a recto page and carried over to a verso page.

There is also an instance of name that is hyphenated and broken up into two lines.