So touching, it brought a tear to my eye.
I am glad to see that someone (theantijock) has already brought up the colloquially called "broken-heart syndrome". Severe emotional trauma does cause a weakening of the myocardia and, more common in the elderly who perhaps are less resilient than their younger counterparts, that can lead to death (I won't bother to site a reference as many of those can be found on the wiki page in theantijobk's link).
Last year my spouse of almost 17 years, who was also my best friend, died from a brain tumour after a 7 year battle. For years he had said he needed to stay around to "take care of me" and I had to "give him permission" to go - letting him know I would be alright (not sure how this is coming across in the written word but I hope some of you will "get" what I am saying).
I can attest that the severity of the pain is unbelievably profound, the physical sensation of the stress to the myocardium is remarkable. If you do have a chance to read up on it (such as citations via the wiki link in the post above) you will learn that it takes about 6 weeks following the trauma for the myocardium to return to it's normal healthy state.
As previously mentioned, for the elderly; those with weakened immune systems; and some who don't have a glimmer of desire to carry on; the actual physical stress on the myocardia can be enough to kill them, often not as fast as this case (1 hour) but typically before the 6 weeks it takes for the muscle to heal. So yes, I believe a person can die from losing their will to live.