I go to the rumble page, and it looks like there may be an egg in
the Alola rumble underneath another rumble panel. (I have several
rumbles going at the same time, and the formatting for having a lot
of adopts / eggs are kinda a bit weird so you can't see what
Pokemon / eggs your Pokemon picked up if there are two or more
Pokemon / egg recruits and / or if the rumble panel isn't at the
bottom of the list of rumbles. That part needs to be redone either
by making the panels bigger or making the recruit texts smaller or
having a pop-up like when viewing items that your Pokemon has
picked up in rumbling.) I click on retrieve, and I see that there
is an egg. My party is full so I don't do anything further to it. I
go to the the storage boxes, and I put away two Pokemon that
hatched as I was checking to see if my Pokemon had found an egg. I
go back to the rumble (and I make sure the page is reloaded), and I
go to retrieve my Pokemon and adopt the egg. An error message comes
up that my party is full, and the egg is basically lost. So I lost
my egg because of this stupid thing.