Hello Elsie...welcome to Permies...
I think I have more questions first before I can give good advise to what I think you are asking??
In timber framing there is a big difference between a "wedge" and "trunnel or peg."
"Draw boring" a joint with a
wood trunnel (wood peg) works on similar principles but the applications are vastly different. Even with "draw boring" there is a huge range of application and material types, so I would really need to perhaps see a photo or drawing of what you care to build, and how you would like to...wedge it...or...pin/peg it.
Pegs and wedges both come in all shapes and sizes (and species.) Each region has there specific commonalities...Ash is common in some regions, like parts of Pennsylvania and Ohio, in others they are all Oak, and Beech. With the Oaks overall being the most common here and in Europe, then Beech,
Locust and a few others, though almost all strait grain hard woods are more than sufficient to doing the job in most applications. I parts of the Midwest they can be Locust, Cherry, Maple, and Horn-beam or Dogwood. Some areas of Michigan and Wisconsin sees a lot of Black walnut and catalpa.
Hope that helps and let me know if I can help further...