The tiny red insects that hatched from the copper colored eggs last week have grown. They are now very dark and seem to have more bristles. Their eyes are still red. Their legs look like striped tights, alternating light gray and black. The ends of their antenna seem to have small tear-shaped balloons that they occasionally puff up. The one on the right down below has one of the balloons partially inflated. Minus their antenna, they are about 4 mm long (about 3/16 inch).
We still have not figured out what they are. They are now in a bigger jar with more of the vegetation on which the eggs were found. Perhaps if we put up an image on BugGuide, someone may have a suggestion. In the mean time, we hope to have them around to photograph several more times.
June 27 Addendum: A friend identified these as probably Helmeted Squash Bug nymphs. He also had photographed some recently.