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Ah I see, this will be fairly simple.
Find the sequence of the game where it invokes the name change screen for a character in the event script, open up a hex editor and fill the spot with FD.
Here, tell me what character's name you don't want to have an "invoke change name screen" for and I'll give you step-by-step instructions on how to skip that one sequence to make the game continue normally.

But here's a link to the event dump, it's VERY useful for event hacking, which is what this is:
http://www.angelfire.com/al2/imzogelmo/s...Disasm.zip

If it was Terra's name you didn't want the game to make an invoke change name screen for, then in the event dump do a CTRL + F for 'My name is'
and that will be close enough to that area. Then just scan for a command saying "Invoke Change Name Screen for character ?"
But be warned, because you haven't changed there name to a corresponding A? value stored in the assembly of the ROM, every area of the game where "Terra's" (example name) is used will be saying <A0> in FF3usME. You'll have to spell out Terra to replace that.