Yep, I would say armillaria mellea. I've found them to be very good. My mom even dries them on good years, and reconstitutes them later.
Deer love them. I have a theory that the "October lull" described by whitetail hunters is actually when the armillaria fruits and the deer never leave the woods.
Young buttons are much better than old tough ones, get them before the veil breaks.
And look into possible gastric upset, it's never been a problem for myself and the dozen or so other people who I've eaten them with, but ymmv.