It sounds like you want a form that looks like a popup menu, but contains components.

It is easier if you have a component that has an OnMouseDown event, like the TPanel shown in this sample, and you just pop up a second form which contains the controls you wanted to pop up:

procedure TForm3.JvPanel1MouseDown(Sender: TObject; Button: TMouseButton;
  Shift: TShiftState; X, Y: Integer);
begin
  if Button=mbRight then
        FDown := true
  else
        FDown := false;
end;

procedure TForm3.JvPanel1MouseUp(Sender: TObject; Button: TMouseButton;
  Shift: TShiftState; X, Y: Integer);
var
  pt:TPoint;
begin
  if Button=mbRight then begin
        FDown := true;
        pt.X := jvPanel1.Left;
        pt.Y := jvPanel1.Top+jvPanel1.Height;


        pt := ClientToScreen(pt);
        Form4.Position := poDesigned;
        Form4.BorderStyle := bsNone;
        Form4.Left := pt.X;
        Form4.Top := pt.Y;
        Form4.Show;
  end;

end;

That handles the form showing itself, and positioning itself to look like a popup. the second form hiding itself, is easy too:

procedure TForm4.FormDeactivate(Sender: TObject);
begin
 Hide;
end;