We'll go with this thread...
Congrats! Not sure about the wood? Maybe an ebony of some sort?
As far as running a trumpet (or wingbone)... it is 1000X easier for me to get the proper seal, and air control if I run it off center. Almost a 45 degree - if you think of dead center and very corner of lips and / or mouth. I'm 1/2 way to corner on right side. But that's just what is comfortable and "natural" feeling.
And I'm guessing, but I doubt this will be your last trumpet! For some reason, it never seems to work that way...lol.