No, that is not what is referred to as a Singer clone. A "Singer" clone is referring to the 15 class machines that were produced in Japan after WWII. I understand that the US government gave Japan the plans of the Singer 15-88, so that they could re-purpose their factories from war time production and get their economy going again.
Your machine is what is referred to as a "badged" machine. Japanese (later Taiwan) manufacturers sold machines that had different brand names on them so that the same machine could be sold at different stores in the same city.
You have the same machine that was sold under the Morse and Dressmaker badges, so the manual is almost surely the right manual for your machine.
Whether you can find a source for those missing parts is another question.
bkay