First let me say that I am sorry for your loss. I am not licensed in TN so i can't provide any spefic response to your question. Generally, you can still persue a claim if the plaintiff dies, however, the only losses that will be recoverable would be those for economic damages. That is medical bills, loss of wages, etc.
From your question, I am assuing that the fractured leg was not a contributing factor to the cause of death. If it is then there will most likely be additional avenues of recovery.
I would suggest that you speak with competent local counsel who can answer your specific questions.