Dying from Lyme does happen and it is usually when physicians have denied treatment because of the faulty guidelines set up by the CDC when it comes to treating Lyme disease. Hopefully this will change as hearings are in progress to change the flawed guidelines. The science is there in regards to chronic Lyme. The CDC just has not kept up with the science.
Death from Lyme is rare but the morbidity and loss of functioning and normal life is tremendous.
Welcome
I agree with Wonko -- however in long-standing and untreated Lyme (and coinfections), people can become so debilitated by the effects of the disease that they don't function well either physically or mentally or emotionally, and their health generally may decline as a side effect of that situation.
There is a book called [bad title]: 'Cure Unknown' by Pamela Weintraub that discusses in detail the current controversies over Lyme diagnosis and treatment, and she recounts in that book the stories of some Lyme patients who were not treated appropriately and who declined severely as a result, in some cases resulting in death after a fairly lengthy period.
But generally, no, I haven't read anywhere that Lyme leads to death commonly.
To my knowledge it is very rare to die from Lyme disease and it's complications.
You may be able to learn more about Lyme and tick-borne disease associated fatalities (and unfortunately, suicide rates) here:
http://www.lymememorial.org/