The goldenrod Spider is a type of crab spider, there are probably a dozen different species found in your area, so I can't be positive about the life cycle of the individual you have captured. Some are born in the late fall and pass the winter as babies, some don't leave the egg sac until spring. If you have had this particular spider in captivity for a long time you must also consider the possibility that she never mated and that means that the eggs are infertile and will never hatch.