I'm not familiar with Linpus Linux but it sounds like you are not getting to the X desktop. How much data are you looking to recover?
If you have a USB drive insert it and see if it gets mounted using the command
On ubuntu mine shows up under /media/disk-1. If the USB drive shows up you could copy everything in the user's home directory to the drive using
cp -pr /home/<USERNAME> <USB drive>
In my case it would be
cp -pr /home/user1 /media/disk-1
Obviously you would need a USB drive with enough free space.