In addition to the links Christy provided a couple of threads here are related.
Once you understand radiometric dating methods you will see that not all methods require a knowledge of parent/daughter ratios at the starting point.
You use more than one method that are based on different assumptions and note that in all cases the dates agree within the error bars. For C-14 articles of known age are dated and the dates agree.
You mean the YEC’s that lied about the origin of a rock when they submitted it for testing which caused the wrong dating method to be used?
This is not how index fossils are used to establish dates but it is the favorite way the YEC like to describe it as it certainly sounds dishonest. If interested you can Google it to see how they are really used.
A more helpful resource is The Bible, Rocks and Time by Christian geologists Davis Young and Ralph Stearley. It includes the history of geology and two chapters on radiometric dating methods.