One option that you may be able to look into is Damn Small Linux. I have not tried it, but the goal of the project is to allow minimal resources to be able to handle Linux..(i.e. not a lot of RAM).
A Quote from the Web Site with the requirements states:
Quote:
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Run fully in RAM with as little as 128MB (you will be amazed at how fast your computer can be!)
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I am not sure that I should have recommended it considering that I haven't used it personally, but I just wanted to inform you that it is out there in case you are looking for it.
You can find more information on it, and the project here:
http://www.damnsmalllinux.org/
Keep in mind, though, as the newer distributions come out, the requirements become higher. Using an older distribution of Linux might be your best bet.
I looked into the requirements for RAM:
Minimum Recommendation:
Fedora Core 5: 192 MB Graphical / 128 MB Text
Fedora Core 4: 192 MB
Fedora Core 3: 192 MB Graphical / 64 MB Text
So, you may be able to take advantage of Fedora Core 3, if you still want to stick with it, but maybe there are some other distributions that others might want to suggest.
Good luck.