I have a couple of froes but have never made one. These are old, obviously forged. I made a new handle for the smaller one from dry hickory. The eyes on both of these are slightly tapered inside so wooden wedges driven into a slit hold the handle extremely well. I've riven a bunch of hickory with the smaller one but never even put a handle on the larger one. (Years ago I was told to occasionally split straight hickory and put the pieces in the barn loft to dry to have an endless supply of dry handle stock. That was good advice.)
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When you say a small froe I hope you don't mean short or you might not have enough steel to smack if it gets stuck during the split.
The smaller one is 1-3/4 to 2" wide, the larger more like 3" wide. Both are about 1/2" thick.
I think the froe splits wood easier if the edge is not too sharp, sharpened like an axe.
I didn't check the hardness of the steel and didn't check if it was mild, high carbon, or wrought iron. I could test them if you wanted to know.
JKJ