Yes, any mine would have a blacksmith sharpening the drills. But blacksmithing in general didn't quite vanish for quite some time in the 20th century. They adapted- they tended to acquire machinist skills, with the advent of small affordable lathes , drill presses, for example. They were still quite useful. Because gas and arc welding were relatively new and required supplies- oxygen, acetylene, high-current electrical wiring- that were not always available, a lot of forge welding continued to be done. Even in machine shops it was not unusual to forge a piece to rough dimensions and then machine it, especially [big pieces] (http://www.loc.gov/item/96521990/).

Factory production displaced a lot of hand work, though. There would have been a disappearance of the finish carpenter's making all the interior woodwork for a house by hand, with a box of various planes and saws. By 1890- 1910, he would simply order all those mouldings , spandrels for stairs etc from a catalog at the lumberyard. Likewise, it would be increasingly unusual to find a blacksmith making shovels, rakes, hinges, door locks, nails, etc. for sale.

One trade that would vanish circa 1910 would be wagon makers and wheel wrights. After Henry Ford introduced the Model T in 1909, the automobile industry quickly pushed out the carriage-making trade. Some of the carriage-makers went on to make cars, like Studebaker, and some workers re-trained as well. If your character was training to do fine painting of coaches, he could find himself glumly employed on an assembly line.