It must not have been totally broken, the engine won't run if the timing chain is broken, loose maybe. If the timing chain stretches (depending on the material), eventually it can jump a tooth, and then the engine really runs funny (if at all).
What year is your Ford?
You might check the TSBs (Technical Service Bulletins) and Recalls see if there is anything there that matches your issues:
http://www.fordforum.com/ford/browse.htm