THE EGG MYSTERY

this has been driving me CRAZY for a week now and i have to get to the bottom of it.  

ok, so, some chickens from the neighborhood are always hanging around in my yard (and i don't blame them because it's the only place around w/ any trees).  now, i like chickens and all but they're kind of a nuisance because 1) they completely destroyed everything i had planted in my garden, and 2) they leave piles of poo on the ground beneath wherever they decided to sleep that night (which is often the tree in my outdoor bathing area).  i've tried shoo-ing them away, but it's useless.  however, there is a good side to their constant presence…  they started to lay their eggs in my yard recently and i discovered their spot.  so i now have a steady supply of fresh eggs for breakfast!  but anyway, on to the mysterious part….

i usually check the nest every couple of days or so and get the eggs, always leaving one so that she keeps laying in that spot (chickens aren't the smartest, eh?).  one day, there was a surprise in the nest.  not only were there about 3 normal chicken eggs, there were also 3 miniature eggs (about 1/3 the size of a chicken egg).  "what the heck kind of eggs are these?", i thought.  is there some runt-of-a-chicken laying these pipsqueak eggs in the same nest?  is some different bird species altogether piggybacking off the nest?  or is the same hen popping out 2 different sizes of eggs?  i was stumped.  i asked my friend, gueldy, about it and he was just as baffled.  but then he said, "i bet it's a rooster's egg!".  HAHAHAHA (i laughed aloud)!  apparently, he had heard that it was rare, yet possible for a male chicken to lay an egg and that they are usually smaller.  HUH?   we boiled a couple of them, along w/ one regular one, to try 'em out.  gueldy was afraid to try one of the small ones (hehe) but he peeled it for me and i bit it in two.  no yolk!  all white.  what a dud!          

yesterday, while online, i remembered the conundrum and did a google search.  and, although i wasn't buying the "rooster's egg" theory, the first thing i googled was: "can rooster's lay eggs?".  most of the results of that search were something like, "of course not, you idiot!  have you ever heard of a man having a baby?"…   but there was one response saying that some roosters (or maybe it was one specific type) might lay one small egg when "coming of age".  are you kidding me?  i still wasn't buying it.    the next thing i searched was something like "two kinds of eggs in one nest" but the internet cut out before i could get any further.   

can somebody please explain what is going on here?  i might have to just stalk the nest 24/7 to monitor any activity.  i must know! aaaarrrgh!