There is no real answer for how the first blacksmith made his tools because most of that information is lost in time. My guess is the first blacksmith used wooden tools and kept them wet to limit the burning. the first hammer was probably a rock and the first anvil another rock.
Today when i make a tool I take a long piece of steel and heat one end so that i can shape it. Iron transfers heat very slowly down the steel so i can hold it with a gloved hand without burning myself. If i have to shape both ends then I shape and finish one end and then cool it in water so it is cool to the touch. I can then heat and shape the other end.
Mostly, a blacksmith on the frontier made horseshoes, or nails, or plows, or shovels, or scythes, or pitchforks. Farming tools.
they got there tools by blacksmith
blacksmiths were people who would bend and flex metal to make weapons such as knives, swords, and daggers, but also would make fences gates and other tools
The blacksmith not only made shoes for horses and oxen and applied them but also made such hardware as latches, hinges, and irons, farm tools, nails, hammers, axes, chisels, and carving tools.
iron
The blacksmith's tools were hammer, tongs, anvil, forge, and fire. He also used files, saws, and so on. He heated iron and pounded it into shapes
blacksmiths were people who would bend and flex metal to make weapons such as knives, swords, and daggers, but also would make fences gates and other tools
Blacksmiths set up shops to make and sell iron tools and saddles. The livery stable and the blacksmith were sometimes operated by the same person. The metal for the saddles was made by the blacksmith, and the leather was usually made by someone else.
Toolmaker or Blacksmith
A blacksmith is a person who forges iron, or an informal term for a person who shoes horses. A blacksmith can also refer to a blackish fish of the Pacific coast.
they buy other tools to make tools
Wheelwrights used tools such as hammers, chisels, spoke shaves, adzes, and augers to craft and repair wooden wagon wheels. They also used specialized implements like a wheelwright's reamer for drilling holes in the wheel hub and a felloe cutter for shaping the curved outer rim of the wheel.