To me it seems that it is just lacking in RAM.
Trisquel's requirements can be found here
(http://trisquel.info/en/wiki/system-requirements) , but you will have to
confirm that you are using the default ISO (uses GNOME).
The processor seems to be 64-bit
(http://www.cpu-world.com/CPUs/K8/AMD-Turion%2064%20X2%20Mobile%20technology%20TL-50%20-%20TMDTL50HAX4CT%20%28TMDTL50CTWOF%29.html).
Confirm that the link corresponds to your model.
There seem to be other versions of that laptop with 1GB RAM, so a RAM upgrade
is very recommended.
Lastly, you should switch to using the newer 7.0 Mini ISO that comes with
LXDE (desktop environment), which runs with the Openbox (window manager). If
you are planning on keeping a GUI you probably want to switch to an even
lighter window manager.