So...funny story...
In an effort to try to get this done sooner (I've been very motivated lately), I decided to try and build up my IV's (I had essentially 0 after collecting the Egg Moves). So I collected the Egg Moves and was going to just get the HP, Def, and SpD perfect so I would have an easier time later this week when I was trying to breed for HP Fire.
Well, I guess the RNG felt bad for giving me those 16 boxes of Oddish the last time I tried this, so it gave me a perfect, Modest, HP Fire Piplup on the 4th egg...
So...yeah...whoops...