It looks like a cookie jar to me. I know they made some of the older cookie jars in some weird shapes, and to look like all kinds of people or objects. I used to have one that looked like an old fashioned steam engine , back when my kids were growing up. I think my oldest son, Anthony, who lives in Idaho, and is the train- lover, still has that old cookie jar decorating one of his shelves.
I admit, I have never seen one that looked like an egg and referenced Caesar, but with cookie jars, almost anything is possible.
Another possibility that is far fetched , but comes to mind anyway, is that it could be a container for pickling eggs ? Caesar probably was "pickled" now and then, since they drank a lot of wine in those days.
Laugh if you will, Sifu, but it does make perfect sense to me....
