When you put the soles onto the boots, they’re “layed.” Stitching the sole to the boot through the welt is the “stitched” part, and then after you put in a double row of wood shoe pegs the soles have been “pegged.”
I'm a custom cowboy boot maker. I own a business, Sorrell Custom Boots, and I create bespoke cowboy boots using vintage machinery and hand tools. I also own www.sorrellnotionsandfindings.com, a company that specializes in tools, supplies, and leather for the boot and shoe making trade.