This is a scarce piece of early 1930s copper cookware by Revere - the official name was "Chic Whistling Egg Cooker" - complete with yellow plastic chick whistler on top. The two pans fit together similar to a double boiler. The upper pot has a center pillar with water line markings for soft, medium, and hard cooked eggs. There's also a cold water fill line on the outside of the lower pot. You fill the pans with water and heat. When the eggs are cooked to the desired hardness or softness, the chick whistles.
The cooker is about 5-3/4" high to the rim by 5 inches diameter with 5-3/4" long brass handles. The original interior tin lining is mostly gone. The undersides of both pots have some small dents and dings that don't show when the boiler is put together and displayed, and there are a few dimples and dings to the bottom of the lower pot that do show. The hard phenolic plastic chic has a tiny sliver nick under the top beak, barely detectable. The particular mark on this piece - Rome Metal Ware / Revere Solid Copper, Rome N.Y. - was used only from 1929 to 1932.
I'm including a photocopy of the original hangtag and instructions for the cooker (the originals are part of my own collection and not for sale). They illustrate and describe precisely how to use the egg boiler, but please note that today's eggs are larger than they were 80 years ago. The illustrations show 4 eggs comfortably fitting in the cooker but I was only able to cook two large eggs at a time.