WiimoteNew.ini refers to a core configuration file used by the Dolphin Emulator

• Could it be a mangled version of "Wiimote new in top" (maybe referring to a Nintendo Wii Remote in "like-new" top condition)?
• Or "Wiimote newini top" as a nonsense / playful string — reminiscent of early internet meme naming conventions (like "Newini" as a cutesy suffix).

A standard top section for an emulated controller often looks like this: 

If it's a made-up phrase for a creative project:

It sounds like you're asking for the "proper story" or origin of "wiimotenewini top" — likely a misspelling or phonetic rendering of something else.