A ESF is a emergency (E) support (S) function (F). The ESF are essentially made up various County Departments, Agency(s) or group(s) that have been provided a Emergency Management responsibility per F.S. Chapter 252.
If your home in Putnam county is within inland "surge zone" or FEMA desgnated flood zone it may be wise to consider a evacuation component in your disaster plan. If your at risk at your home, go to a friend or family member's home that is capable of withstanding storm force winds or to a designated shelter.