Not to take away from Nightingale's achievements, but the most groundbreaking and impactful innovation in graphical representation of disease vectors came from Dr. John Snow, who created a map of SoHo's (London) devastating 1854 cholera outbreak that convincingly made the case that cholera was water born and not the result of miasma. The medical establishment at the time largely dismissed Snow's findings, but the power of the graphical representation convinced the people it needed to in the end and Snow's theories were ultimately vindictated. Unfortunately, Snow didn't live long enough to see his ultimate triumph. Some speculate that his habit of experiementing on himself with ether and chlorophorm may have contributed to his early demise. (Snow was also a pioneering anathesiologist, and even assisted in the birth of Queen Victoria's eight and rather difficult childbirth.)
All this is recounted in Steven Johnson's excellent book The Ghost Map (2006). He talks about Nightingale as well, though not about her charts and graphs. Nightingale was, at least through the 1850s a proponent of the eventually discreted miasma theory.