Nyota was proposed as Uhura's first name in 1982's Star Trek II Biographies by William Rotsler. So King Daniel is half right. Although the name was used in tie-ins for decades, it wasn't made canonical until the 2009 movie.
Although, strictly speaking, we don't know canonically that prime-Uhura's first name was Nyota, since she was born after the timeline split. A different first name could possibly be part of the ripple effect of Nero's incursion. (We already know nu-Chekov isn't really the same person as prime-Chekov, by dint of being born in a different year.)
Not that I'm arguing that prime-Uhura's first name *isn't* Nyota, because I actually prefer/believe that it is. But Uhura is the only main character in TOS not to have her first name given in a prime-universe episode or movie. (Although it was shown on-screen in one of those TOS anniversary specials, and someone once even claimed Kirk used it--badly mispronounced--in TVH... and even though it does kind of sound like that, I believe that particular claim was debunked.)
And yet, somehow, even though Chekov's patronymic was canonically established as Andreievich, Rotsler's Biographies still claimed his father was named Alexei instead of Andrei. I guess Rotsler's Swahili was better than his Russian.
I honestly didn't realize that's how Russian names worked, so I would have made the same mistake as Rotsler!

Have there been various versions of what McCoy's middle initial "H" stands for? I know I've read "Horatio" somewhere, but I can't recall where.
^I've never heard anything but Horatio suggested as McCoy's middle name. I don't recall where it came from, though.
The earliest source I know of for "Horatio" as McCoy's middle name is the fanon U.S.S. Enterprise Officer's Manual by Geoffrey Mandel, copyright 1980... which of course pre-dates TSFS. I wonder if this influenced the TSFS scriptwriter to use "H" as McCoy's middle initial?
The same publication gives Scotty's (not McCoy's) middle name as Edward, Sulu's first name as Itaka, Uhura's first name as Upenda, and Spock's first name as a cat walking across a keyboard!
