The word "wrought" is an archaic past participle of the verb "to work," and so "wrought iron" literally means "worked iron".Wrought iron is a general term for the commodity, but is also used more specifically for finished iron goods, as manufactured by a blacksmith.Wrought iron is a particular worked-iron product that is seldom produced today, as other cheaper, superior products are used instead.
At foundries it was common to blend scrap wrought iron with cast iron to improve the physical properties of castings.
The bars were the usual product of the finery forge, but not necessarily made by that process.
Wrought iron is redshort if it contains sulfur in excess quantity. Historically, coldshort iron was considered sufficient for nails. Ancient Indian smiths did not add lime to their furnaces.
Many items, before they came to be made of mild steel, were produced from wrought iron, including rivets, nails, wire, chains, rails, railway couplings, water and steam pipes, nuts, bolts, horseshoes, handrails, wagon tires, straps for timber roof trusses, and ornamental ironwork, among many other things.
They retain that description because they are made to resemble objects which in the past were wrought (worked) by hand by a blacksmith (although many decorative iron objects, including fences and gates, were often cast rather than wrought).