I just hate it when people take this stuff so literally, when that wasn't the intent.
Well,
I like it when some obvious/cute links can be made. One of the early "Best of Trek" books postulated that Number One and Chapel were sisters, which is going a bit too far, but then, the Enterprise computers were revamped by a colony of women (as mentioned canonically in the episode where the computer calls Kirk "Dear"), the fanon numbered clones ideas for Number One also fits with Majel Barrett's own speculations (devised by her to play the role) about Number One. Majel's notes presented her own ideas for why the character had no name, not even in the writers' bible.
The only problem with such references: one is cute, two are fun, twenty is overkill, but then, not everyone reads every novel.
Another novel, "A Flag Full of Stars", features an Admiral named Timothea Rogers and this character was, in the original manuscript (only), identified as Number One, commentating with Robert April re a big televised anniversary of the NASA shuttle program. Richard Arnold nixed the Number One reference, but the physical description left behind was enough to clue me in. It was fun to finally have my suspicions confirmed online by the author, Brad Ferguson!
I did actually use the sisters idea, and multiple mysterious names for Number One, in a TOS movie era fan fic, well before "A Flag Full of Stars". It turned out very well, and caught lots of readers by surprise.