I mean, I get Mariner is a nerd for these things. But there have to have been other famous captains to geek out about as well. Or things they did in-universe which are famous we never got to see.
Actually, that would be awesome...if she did "Remember when the Enterprise..." and it was something that never happened onscreen. It would be canon some incredible absurd adventure happened that would have made for a fantastic episode...only it wasn't an episode.
Or referenced a comic/novel/video game adventure...or a captain we never heard of: "We're not on the USS Katherine Johnson, and you're no Captain Solok!".
What sort of name is Jennifer for a Andorian?
Maybe she was raised by humans? Or maybe names have started crossing species. Maybe there are little human Spocks and Martoks out there.