In A Dictionary of Hand Tools, by Alvin Sellers, there is one by Plumb, called a claw hatchet with a width of cut of 3 1/2 to 4 5/8 inches, with handle length of 12 1/2 to 14 inches. Page 228.
There is another couple of them on page 231 that is called packing hatchet used for assembling wooden boxes and crates. These have a width of cut of 2 1/4 to 2 3/4 inches, with handle length of 11 to 13 inches,