I've rehabbed a bunch of chisels. I got the bug to get a set of firmer Swan chisels (rectangular cross section) marked "Best Cast Steel" or "Best Tool Steel", and a set of bevel sided Witherby chisels. When you chase down chisels sometimes you find that what was sold to you was not quite as good as the seller claimed. So I got pretty good at flattening the backs of chisels that had some rust. As long as there's no pitting on the cutting edge the chisel will work fine. Sometimes there's pitting further up the chisel but I figure by the time I sharpen that far, I'll have worn the back down with the sharpening to get that far.
Antique chisels will not hold an edge as long as the modern chisels but they certainly can be effectively used to build furniture. They were all our ancestors had and they produced some fine furniture.
Mike
Go into the world and do well. But more importantly, go into the world and do good.