You can use Union or Intersect overlay analysis. Union will combine all attributes and geographies. Intersecting the points with the polygons wiil add the polygon attributes to the point table. You could then query out the points per parcel. If you don't want to create a new shapefile, you could just use the Select By Location function to select all points withing selected parcels.
By the way, where did you get the Garfield County parcel shapefile? I am looking for that myself...