>There are a number of ways of putting a piece of wood through a tenon to lock it in place. "Handwork in Wood", by William Noyes, is a book available at gutenberg.org that illustrates a number of ways to do this. The section on mortise and tenon joints ought to have a picture that matches what you have in mind.
>If it is pegged through the mortice and tenon it is a pegged mortice and tenon joint. If there are wedges endgrain in the tenon it is a wedged mortice and tenon joint. If the peg or wedge is exposed and passes only through the tenon on the outside of the mortice it is a tusk tenon joint.
>Sorry to be different but this is a tusk tenon. Notice the wedge direction and also the extra dadoes. Used as a structural joint in the joists around openings in floors. Also take note of the ratios in relationship to the joist sizes. The tusk is the protrusion under the tenon and resembles the relationship between an elephants tusk and trunk, the trunk being the tenon.