Hey Mark:
First, the Celeron M is not a good "multimedia" processor, at least, not for recording and playing back music. These days you really need a computer with two cores -- like an Intel Pentium D, or the newer and more power-efficient Intel Core2Duo.
Secondly, not even ProTools M-Powered works with the Edirol. You need to own an interface that is made either by Digidesign or M-Audio for the software to work at all.
Third, even the "free" Pro Tools program will only work on pre-Windows-XP operating systems, such as Windows Me. So, your computer, which sounds newer to me, probably won't even run the old PT stuff... and finally...
Fourth, and perhaps most importantly, is that the Edirol interface is not the issue. The issue is that your computer is better-suited to filing your grandma's pie recipes than it is to creating your next sonic masterpiece. Consider buying a better one. I recommend a Mac. At the least, look at Sweetwater, musicxpc, and Terra Digital Audio, for places to research ProTools PC systems.
By the way -- I'm typing this message on MY Dell Inspiron B120. I wouldn't even consider trying to record a Bar Mitzvah on this thing. I am afraid of it. I really, really am... like, it will probably literally catch fire if I even think about using it as a music computer.
***IT SCARES ME***
- Sammy
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