Is it possible to merge 2 components without losing its individuel properties and functions?

I have been trying different things - and have been trying to add a pictureframe on to a component with a specific picture to it.

Then merging it so its one component, that i then can use later on to future projects.
But the functionality seems to disappear from one of the components. The component that isnt the reference loses its component properties and other functionality.

Is there a way to prevent that from happening or is there another work around?

Thanks in advance
-Sim