The bark on some of the rounds looks like hickory. The inside color of the splits looks like some of the hickory we have. Everyonce in a while I'll get some that hand splits that clean, but usually it can be a bit stringy...
I'm buying into the elm theory now... question is, what kind? The American elm around here has more of a silvery bark, but I know growing conditions play a big role there.
That would make sense considering your elm with the bark still attached looks like it split reasonably well.
This was red elm a scrounged a couple years ago. Roadside urban removal fresh cut. An empty truck is a plus when you score wood by accident.
That tree had a reasonably long life then, as far as American Elm goes. Around here (untreated) they barely get past 12” DBH before the Dutch Elm disease gets them.
The rounds in the first three pics are Hemlock. The one with the axe in it looks like ash as others have said