googling for "fig emulator snes" leads me to believe it's a specific type of rom file.
This abandonware site seems to confirm that:
http://www.the-underdogs.info/extension.php
Considering that most of those types of files are just straight memory dumps of whatever was on the cartridge, I doubt there's any useful way to extract the music without reverse engineering the specific rom file. Each of those old games had their own assembly language methods for controlling the sound hardware. It's not like today's game consoles where there are standard libraries for that sort of thing.