It may be worth pointing out here that "Bridget Jones's Diary" was a grammatical joke, which was only corrected at the end. (Talking about the film.)
The s' only applies to that letter, not similar-sounding ones.
In speech, if you say " Bridget Jones' ", you are still pronouncing it as "Brid-jet Joen-zez", adding the extra syllable for the plural.