It still doesn't help us, that link is to a page full of ignition units.
I still say my best GUESS is it's the firing circuit of a CD ignition unit. There is another possibility that might apply in the case of a car, a light dimming unit. Some cars have dimmed headlight or interior control that uses PWM to limit the light power, it's an efficient way of doing it. However, it would seem inappropriate to use a 300V transistor in a circuit running off no more than 12V so I think it relatively unlikely that is it's purpose.
The small IC is a microcontroller, it's a generic part that has to be programmed to do a specific job. That's what makes it difficult to tell what it does, it's whole functionality depends on the program it runs so without knowing how it connects to the rest of the wiring it could be doing almost anything.
Think of your problem this way: if I handed you a remote control unit that had no marking on the buttons and no manufacturers name on it, would you be able to tell what equipment it operated and what each of the buttons did? It might be obvious it's a remote control unit but it could be for an air conditioning unit, a DVD player, open a garage door or operate factory lights.
Brian.