This is a mid cheek piece cross section right. From looking at the books I have the A version is what I would call closest to the early rifles shown. There are several differing treatments I see in the John Bair Book I have. Several different cheek piece designs. Several versions of the beaver tail. some with a molding surrounding the whole. The one full stock example has a TN style cheek piece and it is of the A type design with the exception of the molded section that should be flat for about five eighths inches. There is an example of an early full stock with a beaver tail cheek piece that is rounded on the under side it would seem.
The bottom one looks like a TC type treatment and is not close to what the originals are. The underside radius is tighter leaving a margin of wood that is matching the opposite side of the stock profile. The other problem with the profile is the width of the toe plate section needs to be made a little narrower. There may be Hawken rifles with toe plates that wide but of the ones I have seen they tended to be slimmer. The terms generally and typically could be applied. I would like to hear from Don Stith about his experiences with the detail you are asking about.
