I have since childhood, called these clear non-stinging jellies, sea nettles. However when I got older I learned these are actually the Mesoglea (pieces) of Jelly Fish. Mesoglea is the "jelly" in the jellyfish.
When a jellyfish meets their fate, they start to decompose with the last piece standing being the "jelly" or "mesoglea."
Mesogleal tissue is usually clear or milky in color and is soft and jiggly to the touch. You won't get stung from handling it, it was always an entertaining ordeal finding one as a child as they're soft-squishy and unusual.
This Mesoglea is most likely from a Moon Jelly. Moon Jellies like the shallowness of the bay, and actually prefer living in areas with cooler waters like Delaware. You can even find them in the brackish estuaries such as the Roosevelt Inlet and the Broadkill River.
