What everyone has described, broad axe-hewing axe. Basically to make round wooden things square or rectangular.
The one you have pictured is considered a Canadian pattern. Loyalist Dave's may be a well sharpened Canadian pattern but I think it's a Pennsylvania pattern. Dave's bearded broad axe is also called a goosewing axe. I had a goosewing from a a Bucks County (PA) blacksmith.
If you can lay your hands on or just do a web search for an old axe manufactures catalog there is usually a 1/2 page dedicated to 6 or 8 different broad axe patterns alone. Try Mann, Collins or Beatty. Broad axes were pretty well hung on the barn wall when saw mills came into being. An exception was some of your narrow gauge logging and mine railroads. They would just flatten the logs on opposite sides and use them as is for railroad ties.
I wouldn't expect to see the Amish using a broad axe nowadays, way too labor intensive. Those folks work hard & smart. Maybe if their chainsaw wouldn't start.
The short answer to your post is that one looks to be in good shape and possibly an original handle. At auction in my area I would expect to pay $60-$90 for that one if unmarked. More if by a desirable factory or blacksmith . Pennsylvania is part of what we old tool collectors consider Old Tool Heaven. If you miss this one and want one, frequent the local auctions, flea markets and another will be along shortly.
I'm in the same boat as you are. Along with my muzzleloader affliction I've collected and used woodworking and blacksmithing tools for almost 50 years. My wife has the auctioneer picked out for after my son is through with my stuff.
Thanks,
O.R.
