Hi ERM1
First of all complements of the holiday season!
This project can best be completed by running a spatial join "Joins attributes from one feature to another based on the spatial relationship" (ArcGIS, 2014). I will be able to run this using QGIS and the kml files. Basically we overlay the two layers with one another and run a spatial join, joining the polygon names to the points located within each polygon. Should take approximately an hour or two, let me know when you need it by. I know my bid my not be the lowest but it would be a pleasure doing business with you again.
Regards
William