That roofing hatchet is nice, much better condition than most. I tried them for camping, and while versatile, they are not my favorite for splitting even small logs. My preference is a heavier hatchet...which brings us to the next find! My favorite splitting hatchet is in fact a house axe, which is what it looks like you found. Generally speaking, it is a boy's axe head on a heavier 18-20 inch handle. That's why the proportions look funny if you try to see is a a regular 1.25lb 12-14 inch hatchet. I can't help on the ID, but is you split chunks of firewood into kindling, you may find that you like that tool quite a bit.