Dimension , Size ?
Beyond the fact that they are hatchet-sized, I have no idea. Sorry. As far as I know, neither of these have been published anywhere. Both pictures I got from the 'net at some point.
What I was trying to do by posting them was spark a conversation about possible differences between what folks tend to gravitate towards when looking for antique frontier hatchets/belt axes and what we know was actually used. I've seen dozen or two hammer-poll hatchets, many which almost look like they were forged out of square stock, presented on various websites as rifleman's axes or something of that nature, yet I can't recall any with provenance or excavated examples off the top of my head. In contrast, it seem pretty rare for someone to show an example of an American pattern belt axe here, despite the fact that we do know that they were used, and I've yet to find a post-Civil War hatchet head with a minimally-flared profile, with or without ears, for sale. Food for thought....