Hi Blacklow
Usually the old kernel will work on your new hardware as well. Most configurations are module based nowadays, so it should sort out most of the hardware you use by itself.
A pitfall could be when you change the place of the harddisk in the system. (e.g. it's a 2nd drive now like /dev/hdb and in the new system it's connected as /dev/hda, the primary IDE interface)
Alternatively, if you don't run custom applications/daemons and have a straight forward server functionality. you can try a newer Fedora, copy the data and test it.
Good luck,
Ted Kraan