Summarize:

This step is optional but it does give a realistic appearance to the chocolate cup if you're prepared to do some more work: Melt some additional chocolate. Allow to cool until it can be handled. Pour a thin "U"-style shape of melted chocolate onto a tray lined with parchment paper (or onto a silicone sheet). Use your fingers or a tool such as a knife to shape the "U" if needed. Leave to set. Apply the handle using dobs of melted chocolate. Consider adding some more shaved chocolate or even grate a coffee bean on top. Finished.
Shape a handle. Gently top the cup with the remaining whipping cream.