The hard drive is the same one that "WAS" working with the wireless while in the P3 pc. Somehow transferring it into the P4 pc has lost its ability to pick up a signal.
Your P3 machine works on wireless. The P4 does not.
The hard drive did not change,
Windows XP did not change,
The wireless device did not change.
The CPU changed.
The motherboard changed.
Windows Networking is not hardware independent.
Examples:
1. A change in a Video card can stop a network card.
2. A change in motherboard chip set can stop USB service.
3. A change in chip set stops the audio.
4. A change in CPU will cause drivers to not work right.
The wireless drives can not work right if the chip set is not right. The device manager may not even show yellow flags.
The best choice is to put it back the way it was. Unless you are doing an in-depth study of how to modify a working system.
However,
It is possible to make it work. And not hard. Just time-consuming.. But before anyone can help you with that, you need to explain how you got the XP system to work on a different motherboard. Did you do a new, clean install of XP on the drive? Or did you do a repair install of XP? Which XP SP2? SP3? OEM? Retail? Did you get the updates?