My laptop has died. Can I re-install the XP Home edition on that dead
computer on another pc?
Probably not. You can do it with retail copies, but not with OEM
copies, and almost certainly, your laptop came with a copy, and that's
OEM.
The biggest disadvantage of an OEM version is that its license ties it
permanently to the first computer it's installed on. It can never
legally be moved to another computer, sold, or given away (except with
the original computer).