I've seen three. PA Dutch beet juice pickled eggs, a vinegar, sugar and a few other stuff pickled eggs and one I can't remember where I saw it. It had sliced beets, onions, eggs and some more "stuff". I think that recipe was in the latest In Fisherman.
PM Bitterroot...he's got a recipe. http://www.washingtonflyfishing.com...-something-about-cast-iron.84516/#post-787091
I pickle beets (sweet) and green beans and asparagus (spicy dill). I save the liquid after finishing a jar and use that to pickle eggs. I've never tried pickling them on their own before.
That's how we used to do pickled eggs back when I lived at home. Eat the beets and then put the eggs in the beet juice with a little extra vinegar and salt and pepper.
I always try to follow a reliable recipe when pickling anything. The WSU extension office is one of those reliable sources for food preservation. Here is a link to 5 different pickled egg recipes... http://whatcom.wsu.edu/fch/documents/eb1104.pdf