Fedora Core 1 should support any system setup that Red Hat 9 supported, and maybe some more... but I guess was that Red Hat 9 did not support your setup. The same may not be true for FC2 when it is released since very old hardware may not be compatible any longer, newer hardware support is much better due to the 2.6 kernel.
Here are drivers that appear to be FC1 compatible and support your hardware..
I do not know if they work or anything more than is said on these pages.
VT8235 -- Audio, the CE chipset is not specifically mentioned --
http://www.viaarena.com/?PageID=294#fedora
Fedora is not specifically supported for KM400 by their drivers. Some or most of the capabilities may be present without their driver, this I do not know.
KM400 --
http://www.viaarena.com/?PageID=296#km400