No, you cannot use one OS disc to recover another OS.
I don't think there are any legal ways of downloading & creating a recovery disc.
What you can do is borrow an XP disc from someone (neighbour / friend / work colleague) & use that to reinstall XP afresh. The disc will have to be the same as the original edition that was installed: Home for Home, Pro for Pro & so on. And licence-wise, OEM for OEM & Retail for Retail (this has been my experience).
Also, you must have your original Product key to hand before attempting a fresh install. This will be on the COA sticker on the laptop (usually the bottom), or you can get it off the system's Registry by running Belarc Advisor click here. If you need to use the latter method, then make a careful written note of it. G