Correct, it's Famicom Tantei Club Part II: Ushiro ni Tatsu ShŠjo a.k.a. Famicom Detective Club Part II: The Girl who Stands Behind
It's more of a visual novel than a standard puzzle solving adventure game, but I remember the story being really good.
I'm not suggesting you go downloading ROMs and emulators, but if you
were to find yourself with a ROM of the game and you
happened to download the
fan translation patch, place it in the same directory as the ROM and give it the same name, you might find yourself playing a fun detective game with a great story and a think verb. Or you could learn Japanese and buy the original cartridge, I guess.
Anyway, Gribbler, your turn.