89 Celica MAFM

I wasn't able to find anything about this with a search, so if there is something, I apologize, and could someone direct me there. Anyways, on to my question:

I've got an 89 Toyota Celica that the rad blew up on me last week. I replaced that, it ran fine, however going up hill, it lost power and died on me. At this point, here is what the situation is:

I have spark, with new spark plug wires. The fuel filter is new, and the fuel pump seems to be working (gas sprays all over the place doing a simple test).

I can start the car, though it dies within about 10 seconds if I disconnect the Mass Air Flow Meter. While it's running like that, it dies immediately if I a) give it gas, or b) plug the MAFM back in.

With the MAFM plugged in, it will not start.

My understanding is that with a problem with the MAFM, it can cause the fuel pump to not function correctly, and with it unplugged, the oxygen sensor is doing it's job and shutting down the system.

Is this correct? And is it correct in assuming (yep, I certainly know what assuming does!) That if I replace the MAFM, my vehicle will function?

Now, I know as much about repairing cars as I do about. Say neurosurgery, which is next to nothing. Though I can pump gas with the best of em!

Cheers, and thanks in advance for anything :)