It is very likely that the black spots are parasitic grubs on the bluegills. Don't panic - if this is the case, it is probably not serious. Here is the first link I could find which discusses his problem:
yellow and black grubs in fish I imagine there are some threads archived here at the forum which discuss this in further detail, and I know I have seen good photos on-line in articles about the grubs which would help you identify them. Try a web search.
The short summary is: the grubs are the fish stage of a parasite that needs fish, fish-eating birds, and snails to live. You can greatly reduce the incidence of these grubs in your pond (and your nephew's) by 1) discouraging fish-eating birds (many threads on this subject here, see threads on "water turkeys" and herons) and/or 2) stocking redear sunfish which love to eat snails and are great fishing and eating (if you have any affinity for bluegills, you'll like redears; they tend to get a little bigger).
The grubs are not considered harmful to humans, especially when the affected fish is properly cooked.