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Interesting - even though I posted the link, I thought Frances' was correct because that is what I would say, not Frances's.
Another link here suggests that either is acceptable depending on which style guide you are following: https://editorsmanual.com/articles/possessives-of-names-ending-in-s/#a-third-way
I notice that in the case of appealing to common pronunciation, the University of Sussex article didn't give any evidence or rules for how to pronounce.
Given all this I would either:
a) choose Frances' or Frances's depending on what I preferred, assuming that anyone who visits and comments that the sign is "wrong" can be invited to piss off;
b) Re-word the sign to avoid the issue entirely;
c) Call it "My potting shed" and go straight to golf club;
d) Call it "Potting shed" for inclusivity feel-good points
Grammatical question.
My FiL partner would like a sign for her shed (yes, LLL >>>)
Which is correct:
Frances Potting Shed
Frances' Potting Shed
Frances's Potting Shed