I read the posts in you other thread on your mystery wood. It's kind of hard to believe some of the guesses that came up. I am very familiar with Locust, Oak, Elm, Cherry, Hickory, and Osage Orange (monkeyball). All were guesses (and wrong I may add). Your pictures are very good and show a superb indication my friend that you have Hornbeam. The pic that shows the dark split "meat wood" denotes the wood in a very wet, just split state. Your second pic shows the typical "chocolate" type appearance once it starts the drying process. A couple of things 1. If you split this wood when wet, it smells like SH$%, I'll guarantee ya that. 2. If you lift a moderate sized round, you will think it is lined with lead. A verrrrrrrrrrrry dense wood indeed.
What I CAN'T tell you would be the burning properties (although you can look it up). I never burnt this wood because of how it smells when split... fearing spousal retribution.