How can I add cylinders to an existing figure so each bone has its own cylinder

Hi everyone, I am trying to build a simple rig with three cylinders like in Image 1...  I created a cylinder using the primitive tool then converted it to a figure using Convert Prop to Figure after that I used the Joint Editor to add two child bones so now I have a three bone chain as shown here

The problem is that the figure only has one cylinder because that is what I started with.. But I want to add two more cylinders so each bone has its own one ... So, I tried creating two more cylinders and parenting them to the top bones like in here but when I rotate them it breaks like in this photo .. the parts do not follow properly because I am rotating the mesh not the bone.

So what I want to know is if having a figure which in this case is the converted cylinder with bones, can I later add additional cylinders and make them part of the same figure and how if that is possible?