Really check which kernel(s) are installed, the command below will tell exactly which kernels you have on your system;
rpm -qa --queryformat="%{n}-%{v}-%{r}.%{arch}.rpm\n" 'kernel*'
Hint: notice the arch (i386, i686 or whatever) this is what to match in addition to the kernel version number. Also if the installed kernel has smp in the naming this is important in order to download the correct kernel-module-ntfs package.
No yum is not needed to install the correct ntfs package, yum is a nice tool that automates and combines multiple repositories to assist in package installation and removal. Yum is really good at resolving package dependencies so you can install updates and new packages in a fairly painless process.
Sounds like you have a new installation of Fedora Core 3 if this is true then the first thing you want to do, before worrying about your other drive, is to visit Fedora Legacy and install an updated version of yum from Fedora Legacy. Then use yum to update your entire installation.
http://www.fedoralegacy.org/
Once your done with all the updates and rebooting,then you can go back to the the ntfs site and download the ntfs kernel module for the new kernel on your system.
And before I forget to install the kernel-module-ntfs rpm, as root from the console or xterm session; rpm -Uvh kernel-module-ntfs*.rpm