Plum, did you uninstall it from the control panel, if not go to
control panel, add or remove programs, remove from there when removed reboot and reinstall, if you have xp check to see if the xp firewall wall is installed as this may be why your'e experiencing a problem with the laptop and not the pc ?you would need to look in the control panel, network connections, dial-up,connected or unconnected, Firewalled, if firewalled right click then check panel on left of window,goto change settings on this connection,double click , when new windows pops up goto advanced and uncheck firewall, reboot again and see if this works
if not jump up and down on the bloody thing........because I don't know what else to tell you ................Good Luck