AFAIK, they are not called "memory sticks." They are called DIMM's.
I didn't find anything searching for the chip vendors. I would definitely just put the "sticks" in the new PC and see what happens.
FYI, here is roughly what happens when an Intel architecture PC boots up:
First, it tries to establish that it has at least 640 KB of useable RAM. It does this at the most conservative possible settings regarding RAM speed and wait states and so on.
If it cannot do this, it will not boot.
If it succeeds, it will set up a stack, and the BIOS can then go on to more complicated tasks.
At some point the BIOS will use the SMBus to interrogate all the DIMM's it finds. Each DIMM has a small serial ROM on it which is connected to this SMBus. Once the BIOS interrogates all the DIMM ROM's, it sets up the various chipset registers so that all the RAM banks will operate in the most optimal way possible. In some cases, it may have to slow down for the sake of the slowest DIMM module. So it is a good idea to keep all the DIMM's operating at one speed. For example, I wouldn't add a 100 MHz DIMM to a system that already had 133 MHz DIMM's, since it may slow the whole bus down to 100 MHz.
Anyway, I think you are pretty safe to just put it in there and see what happens. You should be able to find out from the OS what speed the RAM is actually running at.
If you DO wreck your computer or RAM, however, I will not accept any responsibility, and I won't help you pay to replace it. ;-)
--Mac