I tried many times to install Mint on my Toshiba A10-S403D laptop with 256Mb RAM, each time the system freezed at the very beginning of the installation process ; on the other side, I managed to install it on bigger configurations (my neighboor's desktop computer).
I investigated a little more, then found the cause : the swap partition was not activated by default (/dev/hda3 on my laptop) !
In CLI type : (CTRL+ALT+F1)
sudo mkswap /dev/hdaX (where X is your swap partition id)
sudo swapon /dev/hdaX (same)
Now the installation process is currently running fine (I write it while my lappy is being 'minted'
Of course this implies that you already have your hard drive already partitioned... If not, cfdisk is your best friend.
Try it and let us know.
Shall the pinguin force be with you !
Harry POTARD from France.