I received a reply from Ms. Kobayashi.
1. She has always been credited under her real name, so no pseudonyms.
2. When asked about "Satoru Kobayashi" she replied: "I have never met him."
3. For Sonic Drift 2, she only composed music. She did not do sound effects.
4. She did not work on Lucky Dime Caper.
5. When I asked about other SEGA games she has worked on, she hilariously linked to her artist profile here at vgmdb. I think it's safe to say that the following constitutes her full list of works as a composer:
Inspector Gadget (SNES)
Deep Duck Trouble (GAME GEAR)
Sylvan Tale (GAME GEAR)
Sonic Drift 2 (GAME GEAR)
Let's Make Pro Soccer Team (SATURN)
AZEL-Panzer Dragoon Saga (SATURN)
SHADOWGATE 64 (Nintendo 64)
Panzer Dragoon ORTA (Xbox)
Hoshigami Remix (DS)
Hototogisu Ran (PSP)
Kocha-e (original work)
GE-ON-DAN vol.1 (original work)