The GTK FS-webkit has some unfortunate flaws, a big one being a memory leak that may case the software to eventually crash. The answer to this is either go find and fix the bugs in the GTK FS Webkit, or find a software package that does the same job without the bugs. In our case, we found another package. To update, log into Debian on your TS hardware that's running the GTK FS Webkit and run these:

apt-get update && apt-get install libqt4-dev qt4-dev-tools build-essential -y 
cd fullscreen-webkit-master/qt/ 
cp fullscreen-qtwebkit `which fullscreen-webkit` 

Once the system reboots, your device will be running the new Qt based FS Webkit.