Bud With Stock Cut Away
The process of bud-grafting illustrated in the preceding pictures is completed by the cutting away of the stock, so that the branch grown from the ungrafted bud will assume upright growth and make a new top on the tree. Of course buds may be grafted on branches of an old tree as well as on the trunk of a sapling, the process being exactly the same in each case.
This image is from: Luther Burbank: his methods and discoveries and their practical application. Volume 3 Chapter 5