Not sure about what version the roms were. You can probably find a set of model 2 roms for use with Sega Model 2 emulator if you search. There aren't that many games, so even if you have to get them one at a time, it wouldn't take too long.
EDIT: could also compare the release date of the emulator to the release dates of older version of MAME on the MAMEdev website.
IIRC, for Vitual-On, the right stick is mapped under Player 2 controls.